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Finding the Fourth Proportional to 16,337, 22,545.56 and 9,622.02

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Solution

The fourth proportional to 16,337, 22,545.56 and 9,622.02 is: 13,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337 : 22,545.56 = 9,622.02 : x
  2. Step 2: Convert to fraction form
    16,337/22,545.56 = 9,622.02/x
  3. Step 3: Cross multiply
    16,337x = 22,545.56 × 9,622.02
  4. Step 4: Simplify right side
    16,337x = 216,933,829.23
  5. Step 5: Solve for x
    x = 216,933,829.23/16,337
  6. Step 6: Final answer
    x = 13,278.68

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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.