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Finding the Fourth Proportional to 9,040.44, 12,472 and 6,057.24

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Solution

The fourth proportional to 9,040.44, 12,472 and 6,057.24 is: 8,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.44 : 12,472 = 6,057.24 : x
  2. Step 2: Convert to fraction form
    9,040.44/12,472 = 6,057.24/x
  3. Step 3: Cross multiply
    9,040.44x = 12,472 × 6,057.24
  4. Step 4: Simplify right side
    9,040.44x = 75,545,897.28
  5. Step 5: Solve for x
    x = 75,545,897.28/9,040.44
  6. Step 6: Final answer
    x = 8,356.44

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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.