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Finding the Fourth Proportional to 9,481, 13,082.82 and 5,288.52

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Solution

The fourth proportional to 9,481, 13,082.82 and 5,288.52 is: 7,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481 : 13,082.82 = 5,288.52 : x
  2. Step 2: Convert to fraction form
    9,481/13,082.82 = 5,288.52/x
  3. Step 3: Cross multiply
    9,481x = 13,082.82 × 5,288.52
  4. Step 4: Simplify right side
    9,481x = 69,188,755.23
  5. Step 5: Solve for x
    x = 69,188,755.23/9,481
  6. Step 6: Final answer
    x = 7,297.62

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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.