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Finding the Fourth Proportional to 6,558.62, 9,829.15 and 2,394.71

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Solution

The fourth proportional to 6,558.62, 9,829.15 and 2,394.71 is: 3,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.62 : 9,829.15 = 2,394.71 : x
  2. Step 2: Convert to fraction form
    6,558.62/9,829.15 = 2,394.71/x
  3. Step 3: Cross multiply
    6,558.62x = 9,829.15 × 2,394.71
  4. Step 4: Simplify right side
    6,558.62x = 23,537,963.80
  5. Step 5: Solve for x
    x = 23,537,963.80/6,558.62
  6. Step 6: Final answer
    x = 3,588.86

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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.