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Finding the Fourth Proportional to 9,734.68, 13,425.58 and 8,229.58

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Solution

The fourth proportional to 9,734.68, 13,425.58 and 8,229.58 is: 11,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.68 : 13,425.58 = 8,229.58 : x
  2. Step 2: Convert to fraction form
    9,734.68/13,425.58 = 8,229.58/x
  3. Step 3: Cross multiply
    9,734.68x = 13,425.58 × 8,229.58
  4. Step 4: Simplify right side
    9,734.68x = 110,486,776.38
  5. Step 5: Solve for x
    x = 110,486,776.38/9,734.68
  6. Step 6: Final answer
    x = 11,349.82

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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.