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Finding the Fourth Proportional to 6,176.48, 9,253.84 and 3,247.84

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Solution

The fourth proportional to 6,176.48, 9,253.84 and 3,247.84 is: 4,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.48 : 9,253.84 = 3,247.84 : x
  2. Step 2: Convert to fraction form
    6,176.48/9,253.84 = 3,247.84/x
  3. Step 3: Cross multiply
    6,176.48x = 9,253.84 × 3,247.84
  4. Step 4: Simplify right side
    6,176.48x = 30,054,991.71
  5. Step 5: Solve for x
    x = 30,054,991.71/6,176.48
  6. Step 6: Final answer
    x = 4,866.04

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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.