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Finding the Fourth Proportional to 6,365.79, 9,544.05 and 4,280.61

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Solution

The fourth proportional to 6,365.79, 9,544.05 and 4,280.61 is: 6,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.79 : 9,544.05 = 4,280.61 : x
  2. Step 2: Convert to fraction form
    6,365.79/9,544.05 = 4,280.61/x
  3. Step 3: Cross multiply
    6,365.79x = 9,544.05 × 4,280.61
  4. Step 4: Simplify right side
    6,365.79x = 40,854,355.87
  5. Step 5: Solve for x
    x = 40,854,355.87/6,365.79
  6. Step 6: Final answer
    x = 6,417.80

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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.