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Finding the Fourth Proportional to 27,473, 37,912.74 and 14,897.78

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Solution

The fourth proportional to 27,473, 37,912.74 and 14,897.78 is: 20,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473 : 37,912.74 = 14,897.78 : x
  2. Step 2: Convert to fraction form
    27,473/37,912.74 = 14,897.78/x
  3. Step 3: Cross multiply
    27,473x = 37,912.74 × 14,897.78
  4. Step 4: Simplify right side
    27,473x = 564,815,659.72
  5. Step 5: Solve for x
    x = 564,815,659.72/27,473
  6. Step 6: Final answer
    x = 20,558.94

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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.