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Finding the Fourth Proportional to 4,769.73, 7,153.23 and 1,648.92

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Solution

The fourth proportional to 4,769.73, 7,153.23 and 1,648.92 is: 2,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.73 : 7,153.23 = 1,648.92 : x
  2. Step 2: Convert to fraction form
    4,769.73/7,153.23 = 1,648.92/x
  3. Step 3: Cross multiply
    4,769.73x = 7,153.23 × 1,648.92
  4. Step 4: Simplify right side
    4,769.73x = 11,795,104.01
  5. Step 5: Solve for x
    x = 11,795,104.01/4,769.73
  6. Step 6: Final answer
    x = 2,472.91

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1.5x scale

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.