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Finding the Fourth Proportional to 9,752.16, 14,627.89 and 2,732.11

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Solution

The fourth proportional to 9,752.16, 14,627.89 and 2,732.11 is: 4,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.16 : 14,627.89 = 2,732.11 : x
  2. Step 2: Convert to fraction form
    9,752.16/14,627.89 = 2,732.11/x
  3. Step 3: Cross multiply
    9,752.16x = 14,627.89 × 2,732.11
  4. Step 4: Simplify right side
    9,752.16x = 39,965,053.68
  5. Step 5: Solve for x
    x = 39,965,053.68/9,752.16
  6. Step 6: Final answer
    x = 4,098.07

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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.