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Finding the Fourth Proportional to 6,958.23, 9,578.16 and 6,072.51

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Solution

The fourth proportional to 6,958.23, 9,578.16 and 6,072.51 is: 8,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.23 : 9,578.16 = 6,072.51 : x
  2. Step 2: Convert to fraction form
    6,958.23/9,578.16 = 6,072.51/x
  3. Step 3: Cross multiply
    6,958.23x = 9,578.16 × 6,072.51
  4. Step 4: Simplify right side
    6,958.23x = 58,163,472.38
  5. Step 5: Solve for x
    x = 58,163,472.38/6,958.23
  6. Step 6: Final answer
    x = 8,358.95

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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.