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Finding the Fourth Proportional to 17,295.96, 25,947.80 and 4,983

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Solution

The fourth proportional to 17,295.96, 25,947.80 and 4,983 is: 7,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,295.96 : 25,947.80 = 4,983 : x
  2. Step 2: Convert to fraction form
    17,295.96/25,947.80 = 4,983/x
  3. Step 3: Cross multiply
    17,295.96x = 25,947.80 × 4,983
  4. Step 4: Simplify right side
    17,295.96x = 129,297,887.40
  5. Step 5: Solve for x
    x = 129,297,887.40/17,295.96
  6. Step 6: Final answer
    x = 7,475.61

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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.