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Finding the Fourth Proportional to 6,863.65, 9,464.71 and 5,872.21

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Solution

The fourth proportional to 6,863.65, 9,464.71 and 5,872.21 is: 8,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.65 : 9,464.71 = 5,872.21 : x
  2. Step 2: Convert to fraction form
    6,863.65/9,464.71 = 5,872.21/x
  3. Step 3: Cross multiply
    6,863.65x = 9,464.71 × 5,872.21
  4. Step 4: Simplify right side
    6,863.65x = 55,578,764.71
  5. Step 5: Solve for x
    x = 55,578,764.71/6,863.65
  6. Step 6: Final answer
    x = 8,097.55

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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.