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Finding the Fourth Proportional to 6,997.68, 10,489.08 and 2,613.24

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Solution

The fourth proportional to 6,997.68, 10,489.08 and 2,613.24 is: 3,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.68 : 10,489.08 = 2,613.24 : x
  2. Step 2: Convert to fraction form
    6,997.68/10,489.08 = 2,613.24/x
  3. Step 3: Cross multiply
    6,997.68x = 10,489.08 × 2,613.24
  4. Step 4: Simplify right side
    6,997.68x = 27,410,483.42
  5. Step 5: Solve for x
    x = 27,410,483.42/6,997.68
  6. Step 6: Final answer
    x = 3,917.08

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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.