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Finding the Fourth Proportional to 6,843.72, 10,243.71 and 4,864.50

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Solution

The fourth proportional to 6,843.72, 10,243.71 and 4,864.50 is: 7,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.72 : 10,243.71 = 4,864.50 : x
  2. Step 2: Convert to fraction form
    6,843.72/10,243.71 = 4,864.50/x
  3. Step 3: Cross multiply
    6,843.72x = 10,243.71 × 4,864.50
  4. Step 4: Simplify right side
    6,843.72x = 49,830,527.30
  5. Step 5: Solve for x
    x = 49,830,527.30/6,843.72
  6. Step 6: Final answer
    x = 7,281.20

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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.