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Finding the Fourth Proportional to 6,580.39, 9,862.08 and 4,923.94

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Solution

The fourth proportional to 6,580.39, 9,862.08 and 4,923.94 is: 7,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.39 : 9,862.08 = 4,923.94 : x
  2. Step 2: Convert to fraction form
    6,580.39/9,862.08 = 4,923.94/x
  3. Step 3: Cross multiply
    6,580.39x = 9,862.08 × 4,923.94
  4. Step 4: Simplify right side
    6,580.39x = 48,560,290.20
  5. Step 5: Solve for x
    x = 48,560,290.20/6,580.39
  6. Step 6: Final answer
    x = 7,379.55

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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.