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Finding the Fourth Proportional to 6,863.76, 9,464.92 and 5,872.32

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Solution

The fourth proportional to 6,863.76, 9,464.92 and 5,872.32 is: 8,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.76 : 9,464.92 = 5,872.32 : x
  2. Step 2: Convert to fraction form
    6,863.76/9,464.92 = 5,872.32/x
  3. Step 3: Cross multiply
    6,863.76x = 9,464.92 × 5,872.32
  4. Step 4: Simplify right side
    6,863.76x = 55,581,024.33
  5. Step 5: Solve for x
    x = 55,581,024.33/6,863.76
  6. Step 6: Final answer
    x = 8,097.75

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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.