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Finding the Fourth Proportional to 10,520.71, 15,792.44 and 9,358.16

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Solution

The fourth proportional to 10,520.71, 15,792.44 and 9,358.16 is: 14,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.71 : 15,792.44 = 9,358.16 : x
  2. Step 2: Convert to fraction form
    10,520.71/15,792.44 = 9,358.16/x
  3. Step 3: Cross multiply
    10,520.71x = 15,792.44 × 9,358.16
  4. Step 4: Simplify right side
    10,520.71x = 147,788,054.56
  5. Step 5: Solve for x
    x = 147,788,054.56/10,520.71
  6. Step 6: Final answer
    x = 14,047.35

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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.