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Finding the Fourth Proportional to 22,465.54, 33,702.96 and 9,138.55

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Solution

The fourth proportional to 22,465.54, 33,702.96 and 9,138.55 is: 13,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.54 : 33,702.96 = 9,138.55 : x
  2. Step 2: Convert to fraction form
    22,465.54/33,702.96 = 9,138.55/x
  3. Step 3: Cross multiply
    22,465.54x = 33,702.96 × 9,138.55
  4. Step 4: Simplify right side
    22,465.54x = 307,995,970.90
  5. Step 5: Solve for x
    x = 307,995,970.90/22,465.54
  6. Step 6: Final answer
    x = 13,709.71

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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.