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Finding the Fourth Proportional to 6,995.96, 9,651.52 and 4,162.76

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Solution

The fourth proportional to 6,995.96, 9,651.52 and 4,162.76 is: 5,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.96 : 9,651.52 = 4,162.76 : x
  2. Step 2: Convert to fraction form
    6,995.96/9,651.52 = 4,162.76/x
  3. Step 3: Cross multiply
    6,995.96x = 9,651.52 × 4,162.76
  4. Step 4: Simplify right side
    6,995.96x = 40,176,961.40
  5. Step 5: Solve for x
    x = 40,176,961.40/6,995.96
  6. Step 6: Final answer
    x = 5,742.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.