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Finding the Fourth Proportional to 6,484.22, 9,727.54 and 4,491.30

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Solution

The fourth proportional to 6,484.22, 9,727.54 and 4,491.30 is: 6,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.22 : 9,727.54 = 4,491.30 : x
  2. Step 2: Convert to fraction form
    6,484.22/9,727.54 = 4,491.30/x
  3. Step 3: Cross multiply
    6,484.22x = 9,727.54 × 4,491.30
  4. Step 4: Simplify right side
    6,484.22x = 43,689,300.40
  5. Step 5: Solve for x
    x = 43,689,300.40/6,484.22
  6. Step 6: Final answer
    x = 6,737.79

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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.