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Finding the Fourth Proportional to 7,844.50, 10,827.84 and 5,050

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Solution

The fourth proportional to 7,844.50, 10,827.84 and 5,050 is: 6,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.50 : 10,827.84 = 5,050 : x
  2. Step 2: Convert to fraction form
    7,844.50/10,827.84 = 5,050/x
  3. Step 3: Cross multiply
    7,844.50x = 10,827.84 × 5,050
  4. Step 4: Simplify right side
    7,844.50x = 54,680,592
  5. Step 5: Solve for x
    x = 54,680,592/7,844.50
  6. Step 6: Final answer
    x = 6,970.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.