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Finding the Fourth Proportional to 7,072.38, 9,760.14 and 3,928.50

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Solution

The fourth proportional to 7,072.38, 9,760.14 and 3,928.50 is: 5,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.38 : 9,760.14 = 3,928.50 : x
  2. Step 2: Convert to fraction form
    7,072.38/9,760.14 = 3,928.50/x
  3. Step 3: Cross multiply
    7,072.38x = 9,760.14 × 3,928.50
  4. Step 4: Simplify right side
    7,072.38x = 38,342,709.99
  5. Step 5: Solve for x
    x = 38,342,709.99/7,072.38
  6. Step 6: Final answer
    x = 5,421.47

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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.