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Finding the Fourth Proportional to 10,584.99, 15,884.78 and 3,659.49

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Solution

The fourth proportional to 10,584.99, 15,884.78 and 3,659.49 is: 5,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.99 : 15,884.78 = 3,659.49 : x
  2. Step 2: Convert to fraction form
    10,584.99/15,884.78 = 3,659.49/x
  3. Step 3: Cross multiply
    10,584.99x = 15,884.78 × 3,659.49
  4. Step 4: Simplify right side
    10,584.99x = 58,130,193.56
  5. Step 5: Solve for x
    x = 58,130,193.56/10,584.99
  6. Step 6: Final answer
    x = 5,491.76

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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.