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Finding the Fourth Proportional to 12,862.40, 17,734.56 and 8,877.20

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Solution

The fourth proportional to 12,862.40, 17,734.56 and 8,877.20 is: 12,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.40 : 17,734.56 = 8,877.20 : x
  2. Step 2: Convert to fraction form
    12,862.40/17,734.56 = 8,877.20/x
  3. Step 3: Cross multiply
    12,862.40x = 17,734.56 × 8,877.20
  4. Step 4: Simplify right side
    12,862.40x = 157,433,236.03
  5. Step 5: Solve for x
    x = 157,433,236.03/12,862.40
  6. Step 6: Final answer
    x = 12,239.80

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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.