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Finding the Fourth Proportional to 6,657.50, 9,986.26 and 2,762

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Solution

The fourth proportional to 6,657.50, 9,986.26 and 2,762 is: 4,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.50 : 9,986.26 = 2,762 : x
  2. Step 2: Convert to fraction form
    6,657.50/9,986.26 = 2,762/x
  3. Step 3: Cross multiply
    6,657.50x = 9,986.26 × 2,762
  4. Step 4: Simplify right side
    6,657.50x = 27,582,050.12
  5. Step 5: Solve for x
    x = 27,582,050.12/6,657.50
  6. Step 6: Final answer
    x = 4,143.00

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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.