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Finding the Fourth Proportional to 7,099.91, 10,649.80 and 1,834.46

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Solution

The fourth proportional to 7,099.91, 10,649.80 and 1,834.46 is: 2,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.91 : 10,649.80 = 1,834.46 : x
  2. Step 2: Convert to fraction form
    7,099.91/10,649.80 = 1,834.46/x
  3. Step 3: Cross multiply
    7,099.91x = 10,649.80 × 1,834.46
  4. Step 4: Simplify right side
    7,099.91x = 19,536,654.15
  5. Step 5: Solve for x
    x = 19,536,654.15/7,099.91
  6. Step 6: Final answer
    x = 2,751.68

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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.