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Finding the Fourth Proportional to 9,922.32, 14,875.11 and 8,167.41

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Solution

The fourth proportional to 9,922.32, 14,875.11 and 8,167.41 is: 12,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.32 : 14,875.11 = 8,167.41 : x
  2. Step 2: Convert to fraction form
    9,922.32/14,875.11 = 8,167.41/x
  3. Step 3: Cross multiply
    9,922.32x = 14,875.11 × 8,167.41
  4. Step 4: Simplify right side
    9,922.32x = 121,491,122.17
  5. Step 5: Solve for x
    x = 121,491,122.17/9,922.32
  6. Step 6: Final answer
    x = 12,244.23

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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.