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Finding the Fourth Proportional to 6,397.46, 9,582.29 and 3,103.63

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Solution

The fourth proportional to 6,397.46, 9,582.29 and 3,103.63 is: 4,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.46 : 9,582.29 = 3,103.63 : x
  2. Step 2: Convert to fraction form
    6,397.46/9,582.29 = 3,103.63/x
  3. Step 3: Cross multiply
    6,397.46x = 9,582.29 × 3,103.63
  4. Step 4: Simplify right side
    6,397.46x = 29,739,882.71
  5. Step 5: Solve for x
    x = 29,739,882.71/6,397.46
  6. Step 6: Final answer
    x = 4,648.70

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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.