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Finding the Fourth Proportional to 6,472.06, 8,932.05 and 3,640.14

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Solution

The fourth proportional to 6,472.06, 8,932.05 and 3,640.14 is: 5,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.06 : 8,932.05 = 3,640.14 : x
  2. Step 2: Convert to fraction form
    6,472.06/8,932.05 = 3,640.14/x
  3. Step 3: Cross multiply
    6,472.06x = 8,932.05 × 3,640.14
  4. Step 4: Simplify right side
    6,472.06x = 32,513,912.49
  5. Step 5: Solve for x
    x = 32,513,912.49/6,472.06
  6. Step 6: Final answer
    x = 5,023.74

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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.