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Finding the Fourth Proportional to 4,874.32, 7,304.18 and 4,509.82

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Solution

The fourth proportional to 4,874.32, 7,304.18 and 4,509.82 is: 6,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.32 : 7,304.18 = 4,509.82 : x
  2. Step 2: Convert to fraction form
    4,874.32/7,304.18 = 4,509.82/x
  3. Step 3: Cross multiply
    4,874.32x = 7,304.18 × 4,509.82
  4. Step 4: Simplify right side
    4,874.32x = 32,940,537.05
  5. Step 5: Solve for x
    x = 32,940,537.05/4,874.32
  6. Step 6: Final answer
    x = 6,757.98

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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.