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Finding the Fourth Proportional to 4,691.75, 6,461.46 and 4,589.69

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Solution

The fourth proportional to 4,691.75, 6,461.46 and 4,589.69 is: 6,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.75 : 6,461.46 = 4,589.69 : x
  2. Step 2: Convert to fraction form
    4,691.75/6,461.46 = 4,589.69/x
  3. Step 3: Cross multiply
    4,691.75x = 6,461.46 × 4,589.69
  4. Step 4: Simplify right side
    4,691.75x = 29,656,066.04
  5. Step 5: Solve for x
    x = 29,656,066.04/4,691.75
  6. Step 6: Final answer
    x = 6,320.90

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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.