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Finding the Fourth Proportional to 18,468.74, 27,706.76 and 6,782.06

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Solution

The fourth proportional to 18,468.74, 27,706.76 and 6,782.06 is: 10,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.74 : 27,706.76 = 6,782.06 : x
  2. Step 2: Convert to fraction form
    18,468.74/27,706.76 = 6,782.06/x
  3. Step 3: Cross multiply
    18,468.74x = 27,706.76 × 6,782.06
  4. Step 4: Simplify right side
    18,468.74x = 187,908,736.28
  5. Step 5: Solve for x
    x = 187,908,736.28/18,468.74
  6. Step 6: Final answer
    x = 10,174.42

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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.