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Finding the Fourth Proportional to 19,626.50, 27,084.84 and 11,243

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Solution

The fourth proportional to 19,626.50, 27,084.84 and 11,243 is: 15,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626.50 : 27,084.84 = 11,243 : x
  2. Step 2: Convert to fraction form
    19,626.50/27,084.84 = 11,243/x
  3. Step 3: Cross multiply
    19,626.50x = 27,084.84 × 11,243
  4. Step 4: Simplify right side
    19,626.50x = 304,514,856.12
  5. Step 5: Solve for x
    x = 304,514,856.12/19,626.50
  6. Step 6: Final answer
    x = 15,515.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.