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Finding the Fourth Proportional to 6,997.80, 10,501.28 and 3,301.08

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Solution

The fourth proportional to 6,997.80, 10,501.28 and 3,301.08 is: 4,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.80 : 10,501.28 = 3,301.08 : x
  2. Step 2: Convert to fraction form
    6,997.80/10,501.28 = 3,301.08/x
  3. Step 3: Cross multiply
    6,997.80x = 10,501.28 × 3,301.08
  4. Step 4: Simplify right side
    6,997.80x = 34,665,565.38
  5. Step 5: Solve for x
    x = 34,665,565.38/6,997.80
  6. Step 6: Final answer
    x = 4,953.78

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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.