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Finding the Fourth Proportional to 15,769.95, 23,633.05 and 7,969.65

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Solution

The fourth proportional to 15,769.95, 23,633.05 and 7,969.65 is: 11,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.95 : 23,633.05 = 7,969.65 : x
  2. Step 2: Convert to fraction form
    15,769.95/23,633.05 = 7,969.65/x
  3. Step 3: Cross multiply
    15,769.95x = 23,633.05 × 7,969.65
  4. Step 4: Simplify right side
    15,769.95x = 188,347,136.93
  5. Step 5: Solve for x
    x = 188,347,136.93/15,769.95
  6. Step 6: Final answer
    x = 11,943.42

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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.