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Finding the Fourth Proportional to 10,966.50, 16,453.86 and 6,587.10

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Solution

The fourth proportional to 10,966.50, 16,453.86 and 6,587.10 is: 9,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.50 : 16,453.86 = 6,587.10 : x
  2. Step 2: Convert to fraction form
    10,966.50/16,453.86 = 6,587.10/x
  3. Step 3: Cross multiply
    10,966.50x = 16,453.86 × 6,587.10
  4. Step 4: Simplify right side
    10,966.50x = 108,383,221.21
  5. Step 5: Solve for x
    x = 108,383,221.21/10,966.50
  6. Step 6: Final answer
    x = 9,883.12

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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.