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Finding the Fourth Proportional to 4,005.24, 6,007.86 and 2,463

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Solution

The fourth proportional to 4,005.24, 6,007.86 and 2,463 is: 3,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.24 : 6,007.86 = 2,463 : x
  2. Step 2: Convert to fraction form
    4,005.24/6,007.86 = 2,463/x
  3. Step 3: Cross multiply
    4,005.24x = 6,007.86 × 2,463
  4. Step 4: Simplify right side
    4,005.24x = 14,797,359.18
  5. Step 5: Solve for x
    x = 14,797,359.18/4,005.24
  6. Step 6: Final answer
    x = 3,694.50

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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.