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Finding the Fourth Proportional to 15,982.06, 22,053.10 and 9,693.22

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Solution

The fourth proportional to 15,982.06, 22,053.10 and 9,693.22 is: 13,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.06 : 22,053.10 = 9,693.22 : x
  2. Step 2: Convert to fraction form
    15,982.06/22,053.10 = 9,693.22/x
  3. Step 3: Cross multiply
    15,982.06x = 22,053.10 × 9,693.22
  4. Step 4: Simplify right side
    15,982.06x = 213,765,549.98
  5. Step 5: Solve for x
    x = 213,765,549.98/15,982.06
  6. Step 6: Final answer
    x = 13,375.34

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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.