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Finding the Fourth Proportional to 6,787.75, 9,366.46 and 3,802.95

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Solution

The fourth proportional to 6,787.75, 9,366.46 and 3,802.95 is: 5,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.75 : 9,366.46 = 3,802.95 : x
  2. Step 2: Convert to fraction form
    6,787.75/9,366.46 = 3,802.95/x
  3. Step 3: Cross multiply
    6,787.75x = 9,366.46 × 3,802.95
  4. Step 4: Simplify right side
    6,787.75x = 35,620,180.25
  5. Step 5: Solve for x
    x = 35,620,180.25/6,787.75
  6. Step 6: Final answer
    x = 5,247.72

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1.5x scale

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.