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Finding the Fourth Proportional to 7,135.78, 10,703.67 and 1,942.06

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Solution

The fourth proportional to 7,135.78, 10,703.67 and 1,942.06 is: 2,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.78 : 10,703.67 = 1,942.06 : x
  2. Step 2: Convert to fraction form
    7,135.78/10,703.67 = 1,942.06/x
  3. Step 3: Cross multiply
    7,135.78x = 10,703.67 × 1,942.06
  4. Step 4: Simplify right side
    7,135.78x = 20,787,169.36
  5. Step 5: Solve for x
    x = 20,787,169.36/7,135.78
  6. Step 6: Final answer
    x = 2,913.09

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Similar ratio
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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.