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Finding the Fourth Proportional to 7,072.38, 9,760.19 and 3,928.56

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Solution

The fourth proportional to 7,072.38, 9,760.19 and 3,928.56 is: 5,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.38 : 9,760.19 = 3,928.56 : x
  2. Step 2: Convert to fraction form
    7,072.38/9,760.19 = 3,928.56/x
  3. Step 3: Cross multiply
    7,072.38x = 9,760.19 × 3,928.56
  4. Step 4: Simplify right side
    7,072.38x = 38,343,492.03
  5. Step 5: Solve for x
    x = 38,343,492.03/7,072.38
  6. Step 6: Final answer
    x = 5,421.58

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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.