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Finding the Fourth Proportional to 9,502.80, 14,229.90 and 7,024.20

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Solution

The fourth proportional to 9,502.80, 14,229.90 and 7,024.20 is: 10,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,229.90 = 7,024.20 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,229.90 = 7,024.20/x
  3. Step 3: Cross multiply
    9,502.80x = 14,229.90 × 7,024.20
  4. Step 4: Simplify right side
    9,502.80x = 99,953,663.58
  5. Step 5: Solve for x
    x = 99,953,663.58/9,502.80
  6. Step 6: Final answer
    x = 10,518.34

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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.