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Finding the Fourth Proportional to 5,297.82, 7,947.18 and 1,402.17

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Solution

The fourth proportional to 5,297.82, 7,947.18 and 1,402.17 is: 2,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.82 : 7,947.18 = 1,402.17 : x
  2. Step 2: Convert to fraction form
    5,297.82/7,947.18 = 1,402.17/x
  3. Step 3: Cross multiply
    5,297.82x = 7,947.18 × 1,402.17
  4. Step 4: Simplify right side
    5,297.82x = 11,143,297.38
  5. Step 5: Solve for x
    x = 11,143,297.38/5,297.82
  6. Step 6: Final answer
    x = 2,103.37

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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.