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Finding the Fourth Proportional to 8,598.96, 12,896.42 and 2,754

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Solution

The fourth proportional to 8,598.96, 12,896.42 and 2,754 is: 4,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,598.96 : 12,896.42 = 2,754 : x
  2. Step 2: Convert to fraction form
    8,598.96/12,896.42 = 2,754/x
  3. Step 3: Cross multiply
    8,598.96x = 12,896.42 × 2,754
  4. Step 4: Simplify right side
    8,598.96x = 35,516,726.91
  5. Step 5: Solve for x
    x = 35,516,726.91/8,598.96
  6. Step 6: Final answer
    x = 4,130.35

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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.