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Finding the Fourth Proportional to 7,910.64, 11,867.04 and 6,462.36

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Solution

The fourth proportional to 7,910.64, 11,867.04 and 6,462.36 is: 9,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.64 : 11,867.04 = 6,462.36 : x
  2. Step 2: Convert to fraction form
    7,910.64/11,867.04 = 6,462.36/x
  3. Step 3: Cross multiply
    7,910.64x = 11,867.04 × 6,462.36
  4. Step 4: Simplify right side
    7,910.64x = 76,689,084.61
  5. Step 5: Solve for x
    x = 76,689,084.61/7,910.64
  6. Step 6: Final answer
    x = 9,694.42

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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.