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Finding the Fourth Proportional to 6,292.89, 9,441.36 and 4,105.89

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Solution

The fourth proportional to 6,292.89, 9,441.36 and 4,105.89 is: 6,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.89 : 9,441.36 = 4,105.89 : x
  2. Step 2: Convert to fraction form
    6,292.89/9,441.36 = 4,105.89/x
  3. Step 3: Cross multiply
    6,292.89x = 9,441.36 × 4,105.89
  4. Step 4: Simplify right side
    6,292.89x = 38,765,185.61
  5. Step 5: Solve for x
    x = 38,765,185.61/6,292.89
  6. Step 6: Final answer
    x = 6,160.16

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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.