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Finding the Fourth Proportional to 6,314.92, 9,472.38 and 1,934.08

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Solution

The fourth proportional to 6,314.92, 9,472.38 and 1,934.08 is: 2,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.92 : 9,472.38 = 1,934.08 : x
  2. Step 2: Convert to fraction form
    6,314.92/9,472.38 = 1,934.08/x
  3. Step 3: Cross multiply
    6,314.92x = 9,472.38 × 1,934.08
  4. Step 4: Simplify right side
    6,314.92x = 18,320,340.71
  5. Step 5: Solve for x
    x = 18,320,340.71/6,314.92
  6. Step 6: Final answer
    x = 2,901.12

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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.