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Finding the Fourth Proportional to 8,354.01, 11,517.91 and 5,966.84

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Solution

The fourth proportional to 8,354.01, 11,517.91 and 5,966.84 is: 8,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.01 : 11,517.91 = 5,966.84 : x
  2. Step 2: Convert to fraction form
    8,354.01/11,517.91 = 5,966.84/x
  3. Step 3: Cross multiply
    8,354.01x = 11,517.91 × 5,966.84
  4. Step 4: Simplify right side
    8,354.01x = 68,725,526.10
  5. Step 5: Solve for x
    x = 68,725,526.10/8,354.01
  6. Step 6: Final answer
    x = 8,226.65

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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.