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Finding the Fourth Proportional to 7,098.95, 10,649.72 and 2,936.70

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Solution

The fourth proportional to 7,098.95, 10,649.72 and 2,936.70 is: 4,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.95 : 10,649.72 = 2,936.70 : x
  2. Step 2: Convert to fraction form
    7,098.95/10,649.72 = 2,936.70/x
  3. Step 3: Cross multiply
    7,098.95x = 10,649.72 × 2,936.70
  4. Step 4: Simplify right side
    7,098.95x = 31,275,018.04
  5. Step 5: Solve for x
    x = 31,275,018.04/7,098.95
  6. Step 6: Final answer
    x = 4,405.58

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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.