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Finding the Fourth Proportional to 7,691.67, 10,614.51 and 4,154.88

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Solution

The fourth proportional to 7,691.67, 10,614.51 and 4,154.88 is: 5,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.67 : 10,614.51 = 4,154.88 : x
  2. Step 2: Convert to fraction form
    7,691.67/10,614.51 = 4,154.88/x
  3. Step 3: Cross multiply
    7,691.67x = 10,614.51 × 4,154.88
  4. Step 4: Simplify right side
    7,691.67x = 44,102,015.31
  5. Step 5: Solve for x
    x = 44,102,015.31/7,691.67
  6. Step 6: Final answer
    x = 5,733.74

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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.