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Finding the Fourth Proportional to 10,878.32, 16,305.04 and 6,200.88

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Solution

The fourth proportional to 10,878.32, 16,305.04 and 6,200.88 is: 9,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.32 : 16,305.04 = 6,200.88 : x
  2. Step 2: Convert to fraction form
    10,878.32/16,305.04 = 6,200.88/x
  3. Step 3: Cross multiply
    10,878.32x = 16,305.04 × 6,200.88
  4. Step 4: Simplify right side
    10,878.32x = 101,105,596.44
  5. Step 5: Solve for x
    x = 101,105,596.44/10,878.32
  6. Step 6: Final answer
    x = 9,294.23

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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.