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Finding the Fourth Proportional to 6,299.57, 9,474.06 and 5,315.42

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Solution

The fourth proportional to 6,299.57, 9,474.06 and 5,315.42 is: 7,993.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.57 : 9,474.06 = 5,315.42 : x
  2. Step 2: Convert to fraction form
    6,299.57/9,474.06 = 5,315.42/x
  3. Step 3: Cross multiply
    6,299.57x = 9,474.06 × 5,315.42
  4. Step 4: Simplify right side
    6,299.57x = 50,358,560.63
  5. Step 5: Solve for x
    x = 50,358,560.63/6,299.57
  6. Step 6: Final answer
    x = 7,993.97

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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.