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Finding the Fourth Proportional to 6,297.32, 9,443.52 and 2,787.12

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Solution

The fourth proportional to 6,297.32, 9,443.52 and 2,787.12 is: 4,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.32 : 9,443.52 = 2,787.12 : x
  2. Step 2: Convert to fraction form
    6,297.32/9,443.52 = 2,787.12/x
  3. Step 3: Cross multiply
    6,297.32x = 9,443.52 × 2,787.12
  4. Step 4: Simplify right side
    6,297.32x = 26,320,223.46
  5. Step 5: Solve for x
    x = 26,320,223.46/6,297.32
  6. Step 6: Final answer
    x = 4,179.59

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1.5x scale

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.