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Finding the Fourth Proportional to 7,374.32, 10,169.88 and 4,886

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Solution

The fourth proportional to 7,374.32, 10,169.88 and 4,886 is: 6,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.32 : 10,169.88 = 4,886 : x
  2. Step 2: Convert to fraction form
    7,374.32/10,169.88 = 4,886/x
  3. Step 3: Cross multiply
    7,374.32x = 10,169.88 × 4,886
  4. Step 4: Simplify right side
    7,374.32x = 49,690,033.68
  5. Step 5: Solve for x
    x = 49,690,033.68/7,374.32
  6. Step 6: Final answer
    x = 6,738.25

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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.