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Finding the Fourth Proportional to 12,314.92, 18,470.16 and 3,547.68

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Solution

The fourth proportional to 12,314.92, 18,470.16 and 3,547.68 is: 5,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.92 : 18,470.16 = 3,547.68 : x
  2. Step 2: Convert to fraction form
    12,314.92/18,470.16 = 3,547.68/x
  3. Step 3: Cross multiply
    12,314.92x = 18,470.16 × 3,547.68
  4. Step 4: Simplify right side
    12,314.92x = 65,526,217.23
  5. Step 5: Solve for x
    x = 65,526,217.23/12,314.92
  6. Step 6: Final answer
    x = 5,320.88

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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.