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Finding the Fourth Proportional to 7,294.78, 10,942.39 and 2,852.27

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Solution

The fourth proportional to 7,294.78, 10,942.39 and 2,852.27 is: 4,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.78 : 10,942.39 = 2,852.27 : x
  2. Step 2: Convert to fraction form
    7,294.78/10,942.39 = 2,852.27/x
  3. Step 3: Cross multiply
    7,294.78x = 10,942.39 × 2,852.27
  4. Step 4: Simplify right side
    7,294.78x = 31,210,596.01
  5. Step 5: Solve for x
    x = 31,210,596.01/7,294.78
  6. Step 6: Final answer
    x = 4,278.49

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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.