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Finding the Fourth Proportional to 9,314.52, 12,854.10 and 5,335.80

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Solution

The fourth proportional to 9,314.52, 12,854.10 and 5,335.80 is: 7,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.52 : 12,854.10 = 5,335.80 : x
  2. Step 2: Convert to fraction form
    9,314.52/12,854.10 = 5,335.80/x
  3. Step 3: Cross multiply
    9,314.52x = 12,854.10 × 5,335.80
  4. Step 4: Simplify right side
    9,314.52x = 68,586,906.78
  5. Step 5: Solve for x
    x = 68,586,906.78/9,314.52
  6. Step 6: Final answer
    x = 7,363.44

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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.