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Finding the Fourth Proportional to 7,029.48, 10,544.20 and 2,099

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Solution

The fourth proportional to 7,029.48, 10,544.20 and 2,099 is: 3,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.48 : 10,544.20 = 2,099 : x
  2. Step 2: Convert to fraction form
    7,029.48/10,544.20 = 2,099/x
  3. Step 3: Cross multiply
    7,029.48x = 10,544.20 × 2,099
  4. Step 4: Simplify right side
    7,029.48x = 22,132,275.80
  5. Step 5: Solve for x
    x = 22,132,275.80/7,029.48
  6. Step 6: Final answer
    x = 3,148.49

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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.