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Finding the Fourth Proportional to 7,098.98, 10,649.73 and 2,418.73

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Solution

The fourth proportional to 7,098.98, 10,649.73 and 2,418.73 is: 3,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.98 : 10,649.73 = 2,418.73 : x
  2. Step 2: Convert to fraction form
    7,098.98/10,649.73 = 2,418.73/x
  3. Step 3: Cross multiply
    7,098.98x = 10,649.73 × 2,418.73
  4. Step 4: Simplify right side
    7,098.98x = 25,758,768.19
  5. Step 5: Solve for x
    x = 25,758,768.19/7,098.98
  6. Step 6: Final answer
    x = 3,628.52

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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.