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Finding the Fourth Proportional to 7,297.98, 10,948.77 and 2,103.78

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Solution

The fourth proportional to 7,297.98, 10,948.77 and 2,103.78 is: 3,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.98 : 10,948.77 = 2,103.78 : x
  2. Step 2: Convert to fraction form
    7,297.98/10,948.77 = 2,103.78/x
  3. Step 3: Cross multiply
    7,297.98x = 10,948.77 × 2,103.78
  4. Step 4: Simplify right side
    7,297.98x = 23,033,803.35
  5. Step 5: Solve for x
    x = 23,033,803.35/7,297.98
  6. Step 6: Final answer
    x = 3,156.19

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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.