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Finding the Fourth Proportional to 10,082.14, 13,913.07 and 5,605.57

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Solution

The fourth proportional to 10,082.14, 13,913.07 and 5,605.57 is: 7,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.14 : 13,913.07 = 5,605.57 : x
  2. Step 2: Convert to fraction form
    10,082.14/13,913.07 = 5,605.57/x
  3. Step 3: Cross multiply
    10,082.14x = 13,913.07 × 5,605.57
  4. Step 4: Simplify right side
    10,082.14x = 77,990,687.80
  5. Step 5: Solve for x
    x = 77,990,687.80/10,082.14
  6. Step 6: Final answer
    x = 7,735.53

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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.