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Finding the Fourth Proportional to 6,117.53, 8,442.02 and 3,465.17

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Solution

The fourth proportional to 6,117.53, 8,442.02 and 3,465.17 is: 4,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.53 : 8,442.02 = 3,465.17 : x
  2. Step 2: Convert to fraction form
    6,117.53/8,442.02 = 3,465.17/x
  3. Step 3: Cross multiply
    6,117.53x = 8,442.02 × 3,465.17
  4. Step 4: Simplify right side
    6,117.53x = 29,253,017.12
  5. Step 5: Solve for x
    x = 29,253,017.12/6,117.53
  6. Step 6: Final answer
    x = 4,781.83

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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.