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Finding the Fourth Proportional to 16,457.42, 22,711.26 and 9,383.90

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Solution

The fourth proportional to 16,457.42, 22,711.26 and 9,383.90 is: 12,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.42 : 22,711.26 = 9,383.90 : x
  2. Step 2: Convert to fraction form
    16,457.42/22,711.26 = 9,383.90/x
  3. Step 3: Cross multiply
    16,457.42x = 22,711.26 × 9,383.90
  4. Step 4: Simplify right side
    16,457.42x = 213,120,192.71
  5. Step 5: Solve for x
    x = 213,120,192.71/16,457.42
  6. Step 6: Final answer
    x = 12,949.79

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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.