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Finding the Fourth Proportional to 16,137.78, 22,269.33 and 9,765.78

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Solution

The fourth proportional to 16,137.78, 22,269.33 and 9,765.78 is: 13,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.78 : 22,269.33 = 9,765.78 : x
  2. Step 2: Convert to fraction form
    16,137.78/22,269.33 = 9,765.78/x
  3. Step 3: Cross multiply
    16,137.78x = 22,269.33 × 9,765.78
  4. Step 4: Simplify right side
    16,137.78x = 217,477,377.53
  5. Step 5: Solve for x
    x = 217,477,377.53/16,137.78
  6. Step 6: Final answer
    x = 13,476.29

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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.