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Finding the Fourth Proportional to 6,828.62, 9,424.67 and 3,956.94

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Solution

The fourth proportional to 6,828.62, 9,424.67 and 3,956.94 is: 5,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.62 : 9,424.67 = 3,956.94 : x
  2. Step 2: Convert to fraction form
    6,828.62/9,424.67 = 3,956.94/x
  3. Step 3: Cross multiply
    6,828.62x = 9,424.67 × 3,956.94
  4. Step 4: Simplify right side
    6,828.62x = 37,292,833.93
  5. Step 5: Solve for x
    x = 37,292,833.93/6,828.62
  6. Step 6: Final answer
    x = 5,461.26

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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.