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Finding the Fourth Proportional to 4,691.46, 6,473.52 and 4,565.46

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Solution

The fourth proportional to 4,691.46, 6,473.52 and 4,565.46 is: 6,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.46 : 6,473.52 = 4,565.46 : x
  2. Step 2: Convert to fraction form
    4,691.46/6,473.52 = 4,565.46/x
  3. Step 3: Cross multiply
    4,691.46x = 6,473.52 × 4,565.46
  4. Step 4: Simplify right side
    4,691.46x = 29,554,596.62
  5. Step 5: Solve for x
    x = 29,554,596.62/4,691.46
  6. Step 6: Final answer
    x = 6,299.66

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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.