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Finding the Fourth Proportional to 6,938.31, 9,574.38 and 4,383.09

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Solution

The fourth proportional to 6,938.31, 9,574.38 and 4,383.09 is: 6,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.31 : 9,574.38 = 4,383.09 : x
  2. Step 2: Convert to fraction form
    6,938.31/9,574.38 = 4,383.09/x
  3. Step 3: Cross multiply
    6,938.31x = 9,574.38 × 4,383.09
  4. Step 4: Simplify right side
    6,938.31x = 41,965,369.23
  5. Step 5: Solve for x
    x = 41,965,369.23/6,938.31
  6. Step 6: Final answer
    x = 6,048.36

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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.