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Finding the Fourth Proportional to 6,472.88, 8,932.57 and 3,678.38

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Solution

The fourth proportional to 6,472.88, 8,932.57 and 3,678.38 is: 5,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.88 : 8,932.57 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    6,472.88/8,932.57 = 3,678.38/x
  3. Step 3: Cross multiply
    6,472.88x = 8,932.57 × 3,678.38
  4. Step 4: Simplify right side
    6,472.88x = 32,857,386.84
  5. Step 5: Solve for x
    x = 32,857,386.84/6,472.88
  6. Step 6: Final answer
    x = 5,076.16

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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.