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Finding the Fourth Proportional to 6,484.44, 9,722.34 and 3,151.80

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Solution

The fourth proportional to 6,484.44, 9,722.34 and 3,151.80 is: 4,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.44 : 9,722.34 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    6,484.44/9,722.34 = 3,151.80/x
  3. Step 3: Cross multiply
    6,484.44x = 9,722.34 × 3,151.80
  4. Step 4: Simplify right side
    6,484.44x = 30,642,871.21
  5. Step 5: Solve for x
    x = 30,642,871.21/6,484.44
  6. Step 6: Final answer
    x = 4,725.60

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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.