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Finding the Fourth Proportional to 6,907.50, 10,362.78 and 2,524.86

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Solution

The fourth proportional to 6,907.50, 10,362.78 and 2,524.86 is: 3,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.50 : 10,362.78 = 2,524.86 : x
  2. Step 2: Convert to fraction form
    6,907.50/10,362.78 = 2,524.86/x
  3. Step 3: Cross multiply
    6,907.50x = 10,362.78 × 2,524.86
  4. Step 4: Simplify right side
    6,907.50x = 26,164,568.71
  5. Step 5: Solve for x
    x = 26,164,568.71/6,907.50
  6. Step 6: Final answer
    x = 3,787.85

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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.