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Finding the Fourth Proportional to 6,593.14, 9,889.42 and 1,913.04

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Solution

The fourth proportional to 6,593.14, 9,889.42 and 1,913.04 is: 2,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.14 : 9,889.42 = 1,913.04 : x
  2. Step 2: Convert to fraction form
    6,593.14/9,889.42 = 1,913.04/x
  3. Step 3: Cross multiply
    6,593.14x = 9,889.42 × 1,913.04
  4. Step 4: Simplify right side
    6,593.14x = 18,918,856.04
  5. Step 5: Solve for x
    x = 18,918,856.04/6,593.14
  6. Step 6: Final answer
    x = 2,869.48

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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.