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Finding the Fourth Proportional to 12,930.18, 17,843.49 and 7,340.82

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Solution

The fourth proportional to 12,930.18, 17,843.49 and 7,340.82 is: 10,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.18 : 17,843.49 = 7,340.82 : x
  2. Step 2: Convert to fraction form
    12,930.18/17,843.49 = 7,340.82/x
  3. Step 3: Cross multiply
    12,930.18x = 17,843.49 × 7,340.82
  4. Step 4: Simplify right side
    12,930.18x = 130,985,848.26
  5. Step 5: Solve for x
    x = 130,985,848.26/12,930.18
  6. Step 6: Final answer
    x = 10,130.24

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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.