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Finding the Fourth Proportional to 11,032.66, 16,510.11 and 8,414.74

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Solution

The fourth proportional to 11,032.66, 16,510.11 and 8,414.74 is: 12,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.66 : 16,510.11 = 8,414.74 : x
  2. Step 2: Convert to fraction form
    11,032.66/16,510.11 = 8,414.74/x
  3. Step 3: Cross multiply
    11,032.66x = 16,510.11 × 8,414.74
  4. Step 4: Simplify right side
    11,032.66x = 138,928,283.02
  5. Step 5: Solve for x
    x = 138,928,283.02/11,032.66
  6. Step 6: Final answer
    x = 12,592.46

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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.