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Finding the Fourth Proportional to 18,142.40, 27,206.71 and 7,047.74

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Solution

The fourth proportional to 18,142.40, 27,206.71 and 7,047.74 is: 10,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.40 : 27,206.71 = 7,047.74 : x
  2. Step 2: Convert to fraction form
    18,142.40/27,206.71 = 7,047.74/x
  3. Step 3: Cross multiply
    18,142.40x = 27,206.71 × 7,047.74
  4. Step 4: Simplify right side
    18,142.40x = 191,745,868.73
  5. Step 5: Solve for x
    x = 191,745,868.73/18,142.40
  6. Step 6: Final answer
    x = 10,568.93

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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.