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Finding the Fourth Proportional to 6,488.82, 9,734.45 and 2,593.26

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Solution

The fourth proportional to 6,488.82, 9,734.45 and 2,593.26 is: 3,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.82 : 9,734.45 = 2,593.26 : x
  2. Step 2: Convert to fraction form
    6,488.82/9,734.45 = 2,593.26/x
  3. Step 3: Cross multiply
    6,488.82x = 9,734.45 × 2,593.26
  4. Step 4: Simplify right side
    6,488.82x = 25,243,946.84
  5. Step 5: Solve for x
    x = 25,243,946.84/6,488.82
  6. Step 6: Final answer
    x = 3,890.38

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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.