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Finding the Fourth Proportional to 6,494.42, 9,734.63 and 2,798.39

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Solution

The fourth proportional to 6,494.42, 9,734.63 and 2,798.39 is: 4,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.42 : 9,734.63 = 2,798.39 : x
  2. Step 2: Convert to fraction form
    6,494.42/9,734.63 = 2,798.39/x
  3. Step 3: Cross multiply
    6,494.42x = 9,734.63 × 2,798.39
  4. Step 4: Simplify right side
    6,494.42x = 27,241,242.57
  5. Step 5: Solve for x
    x = 27,241,242.57/6,494.42
  6. Step 6: Final answer
    x = 4,194.56

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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.