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Finding the Fourth Proportional to 7,162.88, 10,743.36 and 2,779.92

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Solution

The fourth proportional to 7,162.88, 10,743.36 and 2,779.92 is: 4,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.88 : 10,743.36 = 2,779.92 : x
  2. Step 2: Convert to fraction form
    7,162.88/10,743.36 = 2,779.92/x
  3. Step 3: Cross multiply
    7,162.88x = 10,743.36 × 2,779.92
  4. Step 4: Simplify right side
    7,162.88x = 29,865,681.33
  5. Step 5: Solve for x
    x = 29,865,681.33/7,162.88
  6. Step 6: Final answer
    x = 4,169.51

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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.