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Finding the Fourth Proportional to 4,872.16, 6,723.84 and 2,776.96

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Solution

The fourth proportional to 4,872.16, 6,723.84 and 2,776.96 is: 3,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.16 : 6,723.84 = 2,776.96 : x
  2. Step 2: Convert to fraction form
    4,872.16/6,723.84 = 2,776.96/x
  3. Step 3: Cross multiply
    4,872.16x = 6,723.84 × 2,776.96
  4. Step 4: Simplify right side
    4,872.16x = 18,671,834.73
  5. Step 5: Solve for x
    x = 18,671,834.73/4,872.16
  6. Step 6: Final answer
    x = 3,832.35

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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.