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Finding the Fourth Proportional to 7,098.68, 10,649.92 and 2,716.50

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Solution

The fourth proportional to 7,098.68, 10,649.92 and 2,716.50 is: 4,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.68 : 10,649.92 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    7,098.68/10,649.92 = 2,716.50/x
  3. Step 3: Cross multiply
    7,098.68x = 10,649.92 × 2,716.50
  4. Step 4: Simplify right side
    7,098.68x = 28,930,507.68
  5. Step 5: Solve for x
    x = 28,930,507.68/7,098.68
  6. Step 6: Final answer
    x = 4,075.48

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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.