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Finding the Fourth Proportional to 6,397.77, 8,828.82 and 3,565.05

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Solution

The fourth proportional to 6,397.77, 8,828.82 and 3,565.05 is: 4,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.77 : 8,828.82 = 3,565.05 : x
  2. Step 2: Convert to fraction form
    6,397.77/8,828.82 = 3,565.05/x
  3. Step 3: Cross multiply
    6,397.77x = 8,828.82 × 3,565.05
  4. Step 4: Simplify right side
    6,397.77x = 31,475,184.74
  5. Step 5: Solve for x
    x = 31,475,184.74/6,397.77
  6. Step 6: Final answer
    x = 4,919.71

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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.