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Finding the Fourth Proportional to 6,863.04, 10,312.11 and 6,464.66

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Solution

The fourth proportional to 6,863.04, 10,312.11 and 6,464.66 is: 9,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.04 : 10,312.11 = 6,464.66 : x
  2. Step 2: Convert to fraction form
    6,863.04/10,312.11 = 6,464.66/x
  3. Step 3: Cross multiply
    6,863.04x = 10,312.11 × 6,464.66
  4. Step 4: Simplify right side
    6,863.04x = 66,664,233.47
  5. Step 5: Solve for x
    x = 66,664,233.47/6,863.04
  6. Step 6: Final answer
    x = 9,713.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.