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Finding the Fourth Proportional to 18,527, 27,798.20 and 7,441.55

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Solution

The fourth proportional to 18,527, 27,798.20 and 7,441.55 is: 11,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527 : 27,798.20 = 7,441.55 : x
  2. Step 2: Convert to fraction form
    18,527/27,798.20 = 7,441.55/x
  3. Step 3: Cross multiply
    18,527x = 27,798.20 × 7,441.55
  4. Step 4: Simplify right side
    18,527x = 206,861,713.81
  5. Step 5: Solve for x
    x = 206,861,713.81/18,527
  6. Step 6: Final answer
    x = 11,165.42

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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.