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Finding the Fourth Proportional to 27,507.75, 37,960.74 and 14,932.50

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Solution

The fourth proportional to 27,507.75, 37,960.74 and 14,932.50 is: 20,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.75 : 37,960.74 = 14,932.50 : x
  2. Step 2: Convert to fraction form
    27,507.75/37,960.74 = 14,932.50/x
  3. Step 3: Cross multiply
    27,507.75x = 37,960.74 × 14,932.50
  4. Step 4: Simplify right side
    27,507.75x = 566,848,750.05
  5. Step 5: Solve for x
    x = 566,848,750.05/27,507.75
  6. Step 6: Final answer
    x = 20,606.87

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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.