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Finding the Fourth Proportional to 10,406.80, 15,577.80 and 10,082.80

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Solution

The fourth proportional to 10,406.80, 15,577.80 and 10,082.80 is: 15,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.80 : 15,577.80 = 10,082.80 : x
  2. Step 2: Convert to fraction form
    10,406.80/15,577.80 = 10,082.80/x
  3. Step 3: Cross multiply
    10,406.80x = 15,577.80 × 10,082.80
  4. Step 4: Simplify right side
    10,406.80x = 157,067,841.84
  5. Step 5: Solve for x
    x = 157,067,841.84/10,406.80
  6. Step 6: Final answer
    x = 15,092.81

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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.