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Finding the Fourth Proportional to 8,966.60, 12,377.27 and 7,702.60

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Solution

The fourth proportional to 8,966.60, 12,377.27 and 7,702.60 is: 10,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.60 : 12,377.27 = 7,702.60 : x
  2. Step 2: Convert to fraction form
    8,966.60/12,377.27 = 7,702.60/x
  3. Step 3: Cross multiply
    8,966.60x = 12,377.27 × 7,702.60
  4. Step 4: Simplify right side
    8,966.60x = 95,337,059.50
  5. Step 5: Solve for x
    x = 95,337,059.50/8,966.60
  6. Step 6: Final answer
    x = 10,632.46

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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.