Home / 7,182.24-10,766.88-2,562

Finding the Fourth Proportional to 7,182.24, 10,766.88 and 2,562

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Solution

The fourth proportional to 7,182.24, 10,766.88 and 2,562 is: 3,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.24 : 10,766.88 = 2,562 : x
  2. Step 2: Convert to fraction form
    7,182.24/10,766.88 = 2,562/x
  3. Step 3: Cross multiply
    7,182.24x = 10,766.88 × 2,562
  4. Step 4: Simplify right side
    7,182.24x = 27,584,746.56
  5. Step 5: Solve for x
    x = 27,584,746.56/7,182.24
  6. Step 6: Final answer
    x = 3,840.69

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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.