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Finding the Fourth Proportional to 6,387.84, 9,582.70 and 2,003.84

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Solution

The fourth proportional to 6,387.84, 9,582.70 and 2,003.84 is: 3,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.84 : 9,582.70 = 2,003.84 : x
  2. Step 2: Convert to fraction form
    6,387.84/9,582.70 = 2,003.84/x
  3. Step 3: Cross multiply
    6,387.84x = 9,582.70 × 2,003.84
  4. Step 4: Simplify right side
    6,387.84x = 19,202,197.57
  5. Step 5: Solve for x
    x = 19,202,197.57/6,387.84
  6. Step 6: Final answer
    x = 3,006.05

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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.