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Finding the Fourth Proportional to 8,966.70, 12,375 and 6,133.14

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Solution

The fourth proportional to 8,966.70, 12,375 and 6,133.14 is: 8,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.70 : 12,375 = 6,133.14 : x
  2. Step 2: Convert to fraction form
    8,966.70/12,375 = 6,133.14/x
  3. Step 3: Cross multiply
    8,966.70x = 12,375 × 6,133.14
  4. Step 4: Simplify right side
    8,966.70x = 75,897,607.50
  5. Step 5: Solve for x
    x = 75,897,607.50/8,966.70
  6. Step 6: Final answer
    x = 8,464.39

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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.