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Finding the Fourth Proportional to 6,374.68, 9,562.02 and 2,907.88

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Solution

The fourth proportional to 6,374.68, 9,562.02 and 2,907.88 is: 4,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.68 : 9,562.02 = 2,907.88 : x
  2. Step 2: Convert to fraction form
    6,374.68/9,562.02 = 2,907.88/x
  3. Step 3: Cross multiply
    6,374.68x = 9,562.02 × 2,907.88
  4. Step 4: Simplify right side
    6,374.68x = 27,805,206.72
  5. Step 5: Solve for x
    x = 27,805,206.72/6,374.68
  6. Step 6: Final answer
    x = 4,361.82

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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.