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Finding the Fourth Proportional to 6,580.58, 9,866.21 and 3,291.30

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Solution

The fourth proportional to 6,580.58, 9,866.21 and 3,291.30 is: 4,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.58 : 9,866.21 = 3,291.30 : x
  2. Step 2: Convert to fraction form
    6,580.58/9,866.21 = 3,291.30/x
  3. Step 3: Cross multiply
    6,580.58x = 9,866.21 × 3,291.30
  4. Step 4: Simplify right side
    6,580.58x = 32,472,640.52
  5. Step 5: Solve for x
    x = 32,472,640.52/6,580.58
  6. Step 6: Final answer
    x = 4,934.62

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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.