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Finding the Fourth Proportional to 6,154.17, 9,239.15 and 6,092.20

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Solution

The fourth proportional to 6,154.17, 9,239.15 and 6,092.20 is: 9,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.17 : 9,239.15 = 6,092.20 : x
  2. Step 2: Convert to fraction form
    6,154.17/9,239.15 = 6,092.20/x
  3. Step 3: Cross multiply
    6,154.17x = 9,239.15 × 6,092.20
  4. Step 4: Simplify right side
    6,154.17x = 56,286,719.17
  5. Step 5: Solve for x
    x = 56,286,719.17/6,154.17
  6. Step 6: Final answer
    x = 9,146.12

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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.