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Finding the Fourth Proportional to 15,959.70, 22,024.71 and 9,247.50

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Solution

The fourth proportional to 15,959.70, 22,024.71 and 9,247.50 is: 12,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.70 : 22,024.71 = 9,247.50 : x
  2. Step 2: Convert to fraction form
    15,959.70/22,024.71 = 9,247.50/x
  3. Step 3: Cross multiply
    15,959.70x = 22,024.71 × 9,247.50
  4. Step 4: Simplify right side
    15,959.70x = 203,673,505.73
  5. Step 5: Solve for x
    x = 203,673,505.73/15,959.70
  6. Step 6: Final answer
    x = 12,761.74

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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.