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Finding the Fourth Proportional to 15,107.78, 20,844.42 and 9,135.12

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Solution

The fourth proportional to 15,107.78, 20,844.42 and 9,135.12 is: 12,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.78 : 20,844.42 = 9,135.12 : x
  2. Step 2: Convert to fraction form
    15,107.78/20,844.42 = 9,135.12/x
  3. Step 3: Cross multiply
    15,107.78x = 20,844.42 × 9,135.12
  4. Step 4: Simplify right side
    15,107.78x = 190,416,278.03
  5. Step 5: Solve for x
    x = 190,416,278.03/15,107.78
  6. Step 6: Final answer
    x = 12,603.86

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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.