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Finding the Fourth Proportional to 16,416.75, 22,655.12 and 8,964.75

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Solution

The fourth proportional to 16,416.75, 22,655.12 and 8,964.75 is: 12,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.75 : 22,655.12 = 8,964.75 : x
  2. Step 2: Convert to fraction form
    16,416.75/22,655.12 = 8,964.75/x
  3. Step 3: Cross multiply
    16,416.75x = 22,655.12 × 8,964.75
  4. Step 4: Simplify right side
    16,416.75x = 203,097,442.20
  5. Step 5: Solve for x
    x = 203,097,442.20/16,416.75
  6. Step 6: Final answer
    x = 12,371.36

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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.