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Finding the Fourth Proportional to 6,414.98, 9,636.12 and 6,040.46

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Solution

The fourth proportional to 6,414.98, 9,636.12 and 6,040.46 is: 9,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.98 : 9,636.12 = 6,040.46 : x
  2. Step 2: Convert to fraction form
    6,414.98/9,636.12 = 6,040.46/x
  3. Step 3: Cross multiply
    6,414.98x = 9,636.12 × 6,040.46
  4. Step 4: Simplify right side
    6,414.98x = 58,206,597.42
  5. Step 5: Solve for x
    x = 58,206,597.42/6,414.98
  6. Step 6: Final answer
    x = 9,073.54

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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.