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Finding the Fourth Proportional to 6,787.36, 9,366.72 and 3,762.42

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Solution

The fourth proportional to 6,787.36, 9,366.72 and 3,762.42 is: 5,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.36 : 9,366.72 = 3,762.42 : x
  2. Step 2: Convert to fraction form
    6,787.36/9,366.72 = 3,762.42/x
  3. Step 3: Cross multiply
    6,787.36x = 9,366.72 × 3,762.42
  4. Step 4: Simplify right side
    6,787.36x = 35,241,534.66
  5. Step 5: Solve for x
    x = 35,241,534.66/6,787.36
  6. Step 6: Final answer
    x = 5,192.23

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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.