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Finding the Fourth Proportional to 15,407.97, 23,092.11 and 6,968.31

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Solution

The fourth proportional to 15,407.97, 23,092.11 and 6,968.31 is: 10,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.97 : 23,092.11 = 6,968.31 : x
  2. Step 2: Convert to fraction form
    15,407.97/23,092.11 = 6,968.31/x
  3. Step 3: Cross multiply
    15,407.97x = 23,092.11 × 6,968.31
  4. Step 4: Simplify right side
    15,407.97x = 160,912,981.03
  5. Step 5: Solve for x
    x = 160,912,981.03/15,407.97
  6. Step 6: Final answer
    x = 10,443.49

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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.