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Finding the Fourth Proportional to 8,329.60, 12,470.10 and 8,086.60

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Solution

The fourth proportional to 8,329.60, 12,470.10 and 8,086.60 is: 12,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.60 : 12,470.10 = 8,086.60 : x
  2. Step 2: Convert to fraction form
    8,329.60/12,470.10 = 8,086.60/x
  3. Step 3: Cross multiply
    8,329.60x = 12,470.10 × 8,086.60
  4. Step 4: Simplify right side
    8,329.60x = 100,840,710.66
  5. Step 5: Solve for x
    x = 100,840,710.66/8,329.60
  6. Step 6: Final answer
    x = 12,106.31

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1.5x scale

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.