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Finding the Fourth Proportional to 15,669.86, 23,474.03 and 9,082.20

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Solution

The fourth proportional to 15,669.86, 23,474.03 and 9,082.20 is: 13,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,669.86 : 23,474.03 = 9,082.20 : x
  2. Step 2: Convert to fraction form
    15,669.86/23,474.03 = 9,082.20/x
  3. Step 3: Cross multiply
    15,669.86x = 23,474.03 × 9,082.20
  4. Step 4: Simplify right side
    15,669.86x = 213,195,837.41
  5. Step 5: Solve for x
    x = 213,195,837.41/15,669.86
  6. Step 6: Final answer
    x = 13,605.48

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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.