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Finding the Fourth Proportional to 27,422, 37,842.38 and 14,846.76

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Solution

The fourth proportional to 27,422, 37,842.38 and 14,846.76 is: 20,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422 : 37,842.38 = 14,846.76 : x
  2. Step 2: Convert to fraction form
    27,422/37,842.38 = 14,846.76/x
  3. Step 3: Cross multiply
    27,422x = 37,842.38 × 14,846.76
  4. Step 4: Simplify right side
    27,422x = 561,836,733.69
  5. Step 5: Solve for x
    x = 561,836,733.69/27,422
  6. Step 6: Final answer
    x = 20,488.54

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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.