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Finding the Fourth Proportional to 6,498.36, 9,744.17 and 2,798.55

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Solution

The fourth proportional to 6,498.36, 9,744.17 and 2,798.55 is: 4,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.36 : 9,744.17 = 2,798.55 : x
  2. Step 2: Convert to fraction form
    6,498.36/9,744.17 = 2,798.55/x
  3. Step 3: Cross multiply
    6,498.36x = 9,744.17 × 2,798.55
  4. Step 4: Simplify right side
    6,498.36x = 27,269,532.96
  5. Step 5: Solve for x
    x = 27,269,532.96/6,498.36
  6. Step 6: Final answer
    x = 4,196.37

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1.5x scale

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.