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Finding the Fourth Proportional to 10,059.48, 15,079.92 and 9,229.02

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Solution

The fourth proportional to 10,059.48, 15,079.92 and 9,229.02 is: 13,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.48 : 15,079.92 = 9,229.02 : x
  2. Step 2: Convert to fraction form
    10,059.48/15,079.92 = 9,229.02/x
  3. Step 3: Cross multiply
    10,059.48x = 15,079.92 × 9,229.02
  4. Step 4: Simplify right side
    10,059.48x = 139,172,883.28
  5. Step 5: Solve for x
    x = 139,172,883.28/10,059.48
  6. Step 6: Final answer
    x = 13,835.00

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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.