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Finding the Fourth Proportional to 6,696.52, 10,046.90 and 4,031.03

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Solution

The fourth proportional to 6,696.52, 10,046.90 and 4,031.03 is: 6,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.52 : 10,046.90 = 4,031.03 : x
  2. Step 2: Convert to fraction form
    6,696.52/10,046.90 = 4,031.03/x
  3. Step 3: Cross multiply
    6,696.52x = 10,046.90 × 4,031.03
  4. Step 4: Simplify right side
    6,696.52x = 40,499,284.92
  5. Step 5: Solve for x
    x = 40,499,284.92/6,696.52
  6. Step 6: Final answer
    x = 6,047.82

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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.