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Finding the Fourth Proportional to 6,942.05, 9,568.36 and 5,262.92

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Solution

The fourth proportional to 6,942.05, 9,568.36 and 5,262.92 is: 7,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.05 : 9,568.36 = 5,262.92 : x
  2. Step 2: Convert to fraction form
    6,942.05/9,568.36 = 5,262.92/x
  3. Step 3: Cross multiply
    6,942.05x = 9,568.36 × 5,262.92
  4. Step 4: Simplify right side
    6,942.05x = 50,357,486.90
  5. Step 5: Solve for x
    x = 50,357,486.90/6,942.05
  6. Step 6: Final answer
    x = 7,253.98

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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.