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Finding the Fourth Proportional to 20,270, 27,972.60 and 11,438

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Solution

The fourth proportional to 20,270, 27,972.60 and 11,438 is: 15,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270 : 27,972.60 = 11,438 : x
  2. Step 2: Convert to fraction form
    20,270/27,972.60 = 11,438/x
  3. Step 3: Cross multiply
    20,270x = 27,972.60 × 11,438
  4. Step 4: Simplify right side
    20,270x = 319,950,598.80
  5. Step 5: Solve for x
    x = 319,950,598.80/20,270
  6. Step 6: Final answer
    x = 15,784.44

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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.