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Finding the Fourth Proportional to 19,489.70, 29,234.55 and 9,648.20

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Solution

The fourth proportional to 19,489.70, 29,234.55 and 9,648.20 is: 14,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.70 : 29,234.55 = 9,648.20 : x
  2. Step 2: Convert to fraction form
    19,489.70/29,234.55 = 9,648.20/x
  3. Step 3: Cross multiply
    19,489.70x = 29,234.55 × 9,648.20
  4. Step 4: Simplify right side
    19,489.70x = 282,060,785.31
  5. Step 5: Solve for x
    x = 282,060,785.31/19,489.70
  6. Step 6: Final answer
    x = 14,472.30

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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.