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Finding the Fourth Proportional to 7,294.97, 10,942.67 and 2,852.45

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Solution

The fourth proportional to 7,294.97, 10,942.67 and 2,852.45 is: 4,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.97 : 10,942.67 = 2,852.45 : x
  2. Step 2: Convert to fraction form
    7,294.97/10,942.67 = 2,852.45/x
  3. Step 3: Cross multiply
    7,294.97x = 10,942.67 × 2,852.45
  4. Step 4: Simplify right side
    7,294.97x = 31,213,474.05
  5. Step 5: Solve for x
    x = 31,213,474.05/7,294.97
  6. Step 6: Final answer
    x = 4,278.77

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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.