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Finding the Fourth Proportional to 6,782.50, 10,149.45 and 4,010.68

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Solution

The fourth proportional to 6,782.50, 10,149.45 and 4,010.68 is: 6,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.50 : 10,149.45 = 4,010.68 : x
  2. Step 2: Convert to fraction form
    6,782.50/10,149.45 = 4,010.68/x
  3. Step 3: Cross multiply
    6,782.50x = 10,149.45 × 4,010.68
  4. Step 4: Simplify right side
    6,782.50x = 40,706,196.13
  5. Step 5: Solve for x
    x = 40,706,196.13/6,782.50
  6. Step 6: Final answer
    x = 6,001.65

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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.