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Finding the Fourth Proportional to 5,398.62, 8,097.94 and 1,503.14

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Solution

The fourth proportional to 5,398.62, 8,097.94 and 1,503.14 is: 2,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.62 : 8,097.94 = 1,503.14 : x
  2. Step 2: Convert to fraction form
    5,398.62/8,097.94 = 1,503.14/x
  3. Step 3: Cross multiply
    5,398.62x = 8,097.94 × 1,503.14
  4. Step 4: Simplify right side
    5,398.62x = 12,172,337.53
  5. Step 5: Solve for x
    x = 12,172,337.53/5,398.62
  6. Step 6: Final answer
    x = 2,254.71

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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.