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Finding the Fourth Proportional to 15,121.96, 20,867.82 and 8,407.46

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Solution

The fourth proportional to 15,121.96, 20,867.82 and 8,407.46 is: 11,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.96 : 20,867.82 = 8,407.46 : x
  2. Step 2: Convert to fraction form
    15,121.96/20,867.82 = 8,407.46/x
  3. Step 3: Cross multiply
    15,121.96x = 20,867.82 × 8,407.46
  4. Step 4: Simplify right side
    15,121.96x = 175,445,361.94
  5. Step 5: Solve for x
    x = 175,445,361.94/15,121.96
  6. Step 6: Final answer
    x = 11,602.03

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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.