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Finding the Fourth Proportional to 10,584.77, 15,877.16 and 7,296.98

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Solution

The fourth proportional to 10,584.77, 15,877.16 and 7,296.98 is: 10,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.77 : 15,877.16 = 7,296.98 : x
  2. Step 2: Convert to fraction form
    10,584.77/15,877.16 = 7,296.98/x
  3. Step 3: Cross multiply
    10,584.77x = 15,877.16 × 7,296.98
  4. Step 4: Simplify right side
    10,584.77x = 115,855,282.49
  5. Step 5: Solve for x
    x = 115,855,282.49/10,584.77
  6. Step 6: Final answer
    x = 10,945.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.