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Finding the Fourth Proportional to 6,494.84, 9,734.48 and 3,723.40

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Solution

The fourth proportional to 6,494.84, 9,734.48 and 3,723.40 is: 5,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.84 : 9,734.48 = 3,723.40 : x
  2. Step 2: Convert to fraction form
    6,494.84/9,734.48 = 3,723.40/x
  3. Step 3: Cross multiply
    6,494.84x = 9,734.48 × 3,723.40
  4. Step 4: Simplify right side
    6,494.84x = 36,245,362.83
  5. Step 5: Solve for x
    x = 36,245,362.83/6,494.84
  6. Step 6: Final answer
    x = 5,580.64

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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.