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Finding the Fourth Proportional to 8,598, 12,896.32 and 2,753.04

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Solution

The fourth proportional to 8,598, 12,896.32 and 2,753.04 is: 4,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598 : 12,896.32 = 2,753.04 : x
  2. Step 2: Convert to fraction form
    8,598/12,896.32 = 2,753.04/x
  3. Step 3: Cross multiply
    8,598x = 12,896.32 × 2,753.04
  4. Step 4: Simplify right side
    8,598x = 35,504,084.81
  5. Step 5: Solve for x
    x = 35,504,084.81/8,598
  6. Step 6: Final answer
    x = 4,129.34

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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.