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Finding the Fourth Proportional to 15,471.24, 23,202.62 and 7,569.70

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Solution

The fourth proportional to 15,471.24, 23,202.62 and 7,569.70 is: 11,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.24 : 23,202.62 = 7,569.70 : x
  2. Step 2: Convert to fraction form
    15,471.24/23,202.62 = 7,569.70/x
  3. Step 3: Cross multiply
    15,471.24x = 23,202.62 × 7,569.70
  4. Step 4: Simplify right side
    15,471.24x = 175,636,872.61
  5. Step 5: Solve for x
    x = 175,636,872.61/15,471.24
  6. Step 6: Final answer
    x = 11,352.48

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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.