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Finding the Fourth Proportional to 8,101.71, 12,152.70 and 2,258.22

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Solution

The fourth proportional to 8,101.71, 12,152.70 and 2,258.22 is: 3,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.71 : 12,152.70 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    8,101.71/12,152.70 = 2,258.22/x
  3. Step 3: Cross multiply
    8,101.71x = 12,152.70 × 2,258.22
  4. Step 4: Simplify right side
    8,101.71x = 27,443,470.19
  5. Step 5: Solve for x
    x = 27,443,470.19/8,101.71
  6. Step 6: Final answer
    x = 3,387.37

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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.