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Finding the Fourth Proportional to 7,046.43, 9,722.47 and 4,213.33

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Solution

The fourth proportional to 7,046.43, 9,722.47 and 4,213.33 is: 5,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.43 : 9,722.47 = 4,213.33 : x
  2. Step 2: Convert to fraction form
    7,046.43/9,722.47 = 4,213.33/x
  3. Step 3: Cross multiply
    7,046.43x = 9,722.47 × 4,213.33
  4. Step 4: Simplify right side
    7,046.43x = 40,963,974.53
  5. Step 5: Solve for x
    x = 40,963,974.53/7,046.43
  6. Step 6: Final answer
    x = 5,813.44

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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.