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Finding the Fourth Proportional to 6,780.76, 10,167.22 and 2,099.52

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Solution

The fourth proportional to 6,780.76, 10,167.22 and 2,099.52 is: 3,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.76 : 10,167.22 = 2,099.52 : x
  2. Step 2: Convert to fraction form
    6,780.76/10,167.22 = 2,099.52/x
  3. Step 3: Cross multiply
    6,780.76x = 10,167.22 × 2,099.52
  4. Step 4: Simplify right side
    6,780.76x = 21,346,284.36
  5. Step 5: Solve for x
    x = 21,346,284.36/6,780.76
  6. Step 6: Final answer
    x = 3,148.07

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1.5x scale

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.