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Finding the Fourth Proportional to 12,929.78, 17,843.12 and 7,340.78

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Solution

The fourth proportional to 12,929.78, 17,843.12 and 7,340.78 is: 10,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.78 : 17,843.12 = 7,340.78 : x
  2. Step 2: Convert to fraction form
    12,929.78/17,843.12 = 7,340.78/x
  3. Step 3: Cross multiply
    12,929.78x = 17,843.12 × 7,340.78
  4. Step 4: Simplify right side
    12,929.78x = 130,982,381.73
  5. Step 5: Solve for x
    x = 130,982,381.73/12,929.78
  6. Step 6: Final answer
    x = 10,130.29

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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.