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Finding the Fourth Proportional to 10,542.66, 14,540.66 and 7,475.10

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Solution

The fourth proportional to 10,542.66, 14,540.66 and 7,475.10 is: 10,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.66 : 14,540.66 = 7,475.10 : x
  2. Step 2: Convert to fraction form
    10,542.66/14,540.66 = 7,475.10/x
  3. Step 3: Cross multiply
    10,542.66x = 14,540.66 × 7,475.10
  4. Step 4: Simplify right side
    10,542.66x = 108,692,887.57
  5. Step 5: Solve for x
    x = 108,692,887.57/10,542.66
  6. Step 6: Final answer
    x = 10,309.82

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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.