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Finding the Fourth Proportional to 9,983.52, 13,774.86 and 6,446.12

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Solution

The fourth proportional to 9,983.52, 13,774.86 and 6,446.12 is: 8,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.52 : 13,774.86 = 6,446.12 : x
  2. Step 2: Convert to fraction form
    9,983.52/13,774.86 = 6,446.12/x
  3. Step 3: Cross multiply
    9,983.52x = 13,774.86 × 6,446.12
  4. Step 4: Simplify right side
    9,983.52x = 88,794,331.67
  5. Step 5: Solve for x
    x = 88,794,331.67/9,983.52
  6. Step 6: Final answer
    x = 8,894.09

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Similar ratio
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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.