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Finding the Fourth Proportional to 7,099.38, 10,649.07 and 1,905.66

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Solution

The fourth proportional to 7,099.38, 10,649.07 and 1,905.66 is: 2,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.38 : 10,649.07 = 1,905.66 : x
  2. Step 2: Convert to fraction form
    7,099.38/10,649.07 = 1,905.66/x
  3. Step 3: Cross multiply
    7,099.38x = 10,649.07 × 1,905.66
  4. Step 4: Simplify right side
    7,099.38x = 20,293,506.74
  5. Step 5: Solve for x
    x = 20,293,506.74/7,099.38
  6. Step 6: Final answer
    x = 2,858.49

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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.