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Finding the Fourth Proportional to 6,582.50, 9,878.04 and 2,422.55

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Solution

The fourth proportional to 6,582.50, 9,878.04 and 2,422.55 is: 3,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.50 : 9,878.04 = 2,422.55 : x
  2. Step 2: Convert to fraction form
    6,582.50/9,878.04 = 2,422.55/x
  3. Step 3: Cross multiply
    6,582.50x = 9,878.04 × 2,422.55
  4. Step 4: Simplify right side
    6,582.50x = 23,929,996.41
  5. Step 5: Solve for x
    x = 23,929,996.41/6,582.50
  6. Step 6: Final answer
    x = 3,635.40

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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.