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Finding the Fourth Proportional to 9,648.50, 14,472.75 and 2,723

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Solution

The fourth proportional to 9,648.50, 14,472.75 and 2,723 is: 4,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.50 : 14,472.75 = 2,723 : x
  2. Step 2: Convert to fraction form
    9,648.50/14,472.75 = 2,723/x
  3. Step 3: Cross multiply
    9,648.50x = 14,472.75 × 2,723
  4. Step 4: Simplify right side
    9,648.50x = 39,409,298.25
  5. Step 5: Solve for x
    x = 39,409,298.25/9,648.50
  6. Step 6: Final answer
    x = 4,084.50

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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.