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Finding the Fourth Proportional to 6,995.87, 9,654.08 and 4,162.59

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Solution

The fourth proportional to 6,995.87, 9,654.08 and 4,162.59 is: 5,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.87 : 9,654.08 = 4,162.59 : x
  2. Step 2: Convert to fraction form
    6,995.87/9,654.08 = 4,162.59/x
  3. Step 3: Cross multiply
    6,995.87x = 9,654.08 × 4,162.59
  4. Step 4: Simplify right side
    6,995.87x = 40,185,956.05
  5. Step 5: Solve for x
    x = 40,185,956.05/6,995.87
  6. Step 6: Final answer
    x = 5,744.24

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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.