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Finding the Fourth Proportional to 6,387.75, 9,581.62 and 2,005.55

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Solution

The fourth proportional to 6,387.75, 9,581.62 and 2,005.55 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.75 : 9,581.62 = 2,005.55 : x
  2. Step 2: Convert to fraction form
    6,387.75/9,581.62 = 2,005.55/x
  3. Step 3: Cross multiply
    6,387.75x = 9,581.62 × 2,005.55
  4. Step 4: Simplify right side
    6,387.75x = 19,216,417.99
  5. Step 5: Solve for x
    x = 19,216,417.99/6,387.75
  6. Step 6: Final answer
    x = 3,008.32

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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.