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Finding the Fourth Proportional to 6,474.47, 9,728.12 and 6,039.12

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Solution

The fourth proportional to 6,474.47, 9,728.12 and 6,039.12 is: 9,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.47 : 9,728.12 = 6,039.12 : x
  2. Step 2: Convert to fraction form
    6,474.47/9,728.12 = 6,039.12/x
  3. Step 3: Cross multiply
    6,474.47x = 9,728.12 × 6,039.12
  4. Step 4: Simplify right side
    6,474.47x = 58,749,235.41
  5. Step 5: Solve for x
    x = 58,749,235.41/6,474.47
  6. Step 6: Final answer
    x = 9,073.99

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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.