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Finding the Fourth Proportional to 7,157.87, 9,872.52 and 6,843.77

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Solution

The fourth proportional to 7,157.87, 9,872.52 and 6,843.77 is: 9,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.87 : 9,872.52 = 6,843.77 : x
  2. Step 2: Convert to fraction form
    7,157.87/9,872.52 = 6,843.77/x
  3. Step 3: Cross multiply
    7,157.87x = 9,872.52 × 6,843.77
  4. Step 4: Simplify right side
    7,157.87x = 67,565,256.20
  5. Step 5: Solve for x
    x = 67,565,256.20/7,157.87
  6. Step 6: Final answer
    x = 9,439.30

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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.