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Finding the Fourth Proportional to 6,498.36, 9,744.03 and 3,370.61

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Solution

The fourth proportional to 6,498.36, 9,744.03 and 3,370.61 is: 5,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.36 : 9,744.03 = 3,370.61 : x
  2. Step 2: Convert to fraction form
    6,498.36/9,744.03 = 3,370.61/x
  3. Step 3: Cross multiply
    6,498.36x = 9,744.03 × 3,370.61
  4. Step 4: Simplify right side
    6,498.36x = 32,843,349.32
  5. Step 5: Solve for x
    x = 32,843,349.32/6,498.36
  6. Step 6: Final answer
    x = 5,054.10

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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.