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Finding the Fourth Proportional to 4,323.68, 6,484.48 and 1,982.22

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Solution

The fourth proportional to 4,323.68, 6,484.48 and 1,982.22 is: 2,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.68 : 6,484.48 = 1,982.22 : x
  2. Step 2: Convert to fraction form
    4,323.68/6,484.48 = 1,982.22/x
  3. Step 3: Cross multiply
    4,323.68x = 6,484.48 × 1,982.22
  4. Step 4: Simplify right side
    4,323.68x = 12,853,656.03
  5. Step 5: Solve for x
    x = 12,853,656.03/4,323.68
  6. Step 6: Final answer
    x = 2,972.85

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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.