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Finding the Fourth Proportional to 6,880.86, 9,474.32 and 5,374.50

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Solution

The fourth proportional to 6,880.86, 9,474.32 and 5,374.50 is: 7,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.86 : 9,474.32 = 5,374.50 : x
  2. Step 2: Convert to fraction form
    6,880.86/9,474.32 = 5,374.50/x
  3. Step 3: Cross multiply
    6,880.86x = 9,474.32 × 5,374.50
  4. Step 4: Simplify right side
    6,880.86x = 50,919,705.97
  5. Step 5: Solve for x
    x = 50,919,705.97/6,880.86
  6. Step 6: Final answer
    x = 7,400.20

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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.