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Finding the Fourth Proportional to 6,397.32, 8,828.16 and 3,565.14

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Solution

The fourth proportional to 6,397.32, 8,828.16 and 3,565.14 is: 4,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.32 : 8,828.16 = 3,565.14 : x
  2. Step 2: Convert to fraction form
    6,397.32/8,828.16 = 3,565.14/x
  3. Step 3: Cross multiply
    6,397.32x = 8,828.16 × 3,565.14
  4. Step 4: Simplify right side
    6,397.32x = 31,473,626.34
  5. Step 5: Solve for x
    x = 31,473,626.34/6,397.32
  6. Step 6: Final answer
    x = 4,919.81

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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.