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Finding the Fourth Proportional to 8,489.40, 12,742.20 and 7,258.20

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Solution

The fourth proportional to 8,489.40, 12,742.20 and 7,258.20 is: 10,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.40 : 12,742.20 = 7,258.20 : x
  2. Step 2: Convert to fraction form
    8,489.40/12,742.20 = 7,258.20/x
  3. Step 3: Cross multiply
    8,489.40x = 12,742.20 × 7,258.20
  4. Step 4: Simplify right side
    8,489.40x = 92,485,436.04
  5. Step 5: Solve for x
    x = 92,485,436.04/8,489.40
  6. Step 6: Final answer
    x = 10,894.23

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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.