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Finding the Fourth Proportional to 9,553.40, 13,184.40 and 5,776.71

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Solution

The fourth proportional to 9,553.40, 13,184.40 and 5,776.71 is: 7,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.40 : 13,184.40 = 5,776.71 : x
  2. Step 2: Convert to fraction form
    9,553.40/13,184.40 = 5,776.71/x
  3. Step 3: Cross multiply
    9,553.40x = 13,184.40 × 5,776.71
  4. Step 4: Simplify right side
    9,553.40x = 76,162,427.55
  5. Step 5: Solve for x
    x = 76,162,427.55/9,553.40
  6. Step 6: Final answer
    x = 7,972.29

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.