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Finding the Fourth Proportional to 27,492.56, 41,242.90 and 9,958.30

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Solution

The fourth proportional to 27,492.56, 41,242.90 and 9,958.30 is: 14,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.56 : 41,242.90 = 9,958.30 : x
  2. Step 2: Convert to fraction form
    27,492.56/41,242.90 = 9,958.30/x
  3. Step 3: Cross multiply
    27,492.56x = 41,242.90 × 9,958.30
  4. Step 4: Simplify right side
    27,492.56x = 410,709,171.07
  5. Step 5: Solve for x
    x = 410,709,171.07/27,492.56
  6. Step 6: Final answer
    x = 14,938.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.