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Finding the Fourth Proportional to 6,527.79, 9,787.34 and 3,367.20

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Solution

The fourth proportional to 6,527.79, 9,787.34 and 3,367.20 is: 5,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.79 : 9,787.34 = 3,367.20 : x
  2. Step 2: Convert to fraction form
    6,527.79/9,787.34 = 3,367.20/x
  3. Step 3: Cross multiply
    6,527.79x = 9,787.34 × 3,367.20
  4. Step 4: Simplify right side
    6,527.79x = 32,955,931.25
  5. Step 5: Solve for x
    x = 32,955,931.25/6,527.79
  6. Step 6: Final answer
    x = 5,048.56

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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.