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Finding the Fourth Proportional to 8,650, 12,977.16 and 2,494

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Solution

The fourth proportional to 8,650, 12,977.16 and 2,494 is: 3,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650 : 12,977.16 = 2,494 : x
  2. Step 2: Convert to fraction form
    8,650/12,977.16 = 2,494/x
  3. Step 3: Cross multiply
    8,650x = 12,977.16 × 2,494
  4. Step 4: Simplify right side
    8,650x = 32,365,037.04
  5. Step 5: Solve for x
    x = 32,365,037.04/8,650
  6. Step 6: Final answer
    x = 3,741.62

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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.