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Finding the Fourth Proportional to 6,472.73, 8,932.63 and 3,640.22

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Solution

The fourth proportional to 6,472.73, 8,932.63 and 3,640.22 is: 5,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.73 : 8,932.63 = 3,640.22 : x
  2. Step 2: Convert to fraction form
    6,472.73/8,932.63 = 3,640.22/x
  3. Step 3: Cross multiply
    6,472.73x = 8,932.63 × 3,640.22
  4. Step 4: Simplify right side
    6,472.73x = 32,516,775.18
  5. Step 5: Solve for x
    x = 32,516,775.18/6,472.73
  6. Step 6: Final answer
    x = 5,023.66

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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.