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Finding the Fourth Proportional to 4,776.92, 6,591.76 and 2,787.24

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Solution

The fourth proportional to 4,776.92, 6,591.76 and 2,787.24 is: 3,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.92 : 6,591.76 = 2,787.24 : x
  2. Step 2: Convert to fraction form
    4,776.92/6,591.76 = 2,787.24/x
  3. Step 3: Cross multiply
    4,776.92x = 6,591.76 × 2,787.24
  4. Step 4: Simplify right side
    4,776.92x = 18,372,817.14
  5. Step 5: Solve for x
    x = 18,372,817.14/4,776.92
  6. Step 6: Final answer
    x = 3,846.16

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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.