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Finding the Fourth Proportional to 15,505.65, 23,252.94 and 6,738.48

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Solution

The fourth proportional to 15,505.65, 23,252.94 and 6,738.48 is: 10,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.65 : 23,252.94 = 6,738.48 : x
  2. Step 2: Convert to fraction form
    15,505.65/23,252.94 = 6,738.48/x
  3. Step 3: Cross multiply
    15,505.65x = 23,252.94 × 6,738.48
  4. Step 4: Simplify right side
    15,505.65x = 156,689,471.13
  5. Step 5: Solve for x
    x = 156,689,471.13/15,505.65
  6. Step 6: Final answer
    x = 10,105.31

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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.