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Finding the Fourth Proportional to 6,397.71, 8,828.67 and 3,565.09

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Solution

The fourth proportional to 6,397.71, 8,828.67 and 3,565.09 is: 4,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.71 : 8,828.67 = 3,565.09 : x
  2. Step 2: Convert to fraction form
    6,397.71/8,828.67 = 3,565.09/x
  3. Step 3: Cross multiply
    6,397.71x = 8,828.67 × 3,565.09
  4. Step 4: Simplify right side
    6,397.71x = 31,475,003.13
  5. Step 5: Solve for x
    x = 31,475,003.13/6,397.71
  6. Step 6: Final answer
    x = 4,919.73

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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.