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Finding the Fourth Proportional to 6,527.96, 9,798.42 and 5,082.92

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Solution

The fourth proportional to 6,527.96, 9,798.42 and 5,082.92 is: 7,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.96 : 9,798.42 = 5,082.92 : x
  2. Step 2: Convert to fraction form
    6,527.96/9,798.42 = 5,082.92/x
  3. Step 3: Cross multiply
    6,527.96x = 9,798.42 × 5,082.92
  4. Step 4: Simplify right side
    6,527.96x = 49,804,584.99
  5. Step 5: Solve for x
    x = 49,804,584.99/6,527.96
  6. Step 6: Final answer
    x = 7,629.43

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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.