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Finding the Fourth Proportional to 6,498.65, 9,731.37 and 3,573.74

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Solution

The fourth proportional to 6,498.65, 9,731.37 and 3,573.74 is: 5,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.65 : 9,731.37 = 3,573.74 : x
  2. Step 2: Convert to fraction form
    6,498.65/9,731.37 = 3,573.74/x
  3. Step 3: Cross multiply
    6,498.65x = 9,731.37 × 3,573.74
  4. Step 4: Simplify right side
    6,498.65x = 34,777,386.22
  5. Step 5: Solve for x
    x = 34,777,386.22/6,498.65
  6. Step 6: Final answer
    x = 5,351.48

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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.