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Finding the Fourth Proportional to 6,706, 10,058.84 and 2,326.48

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Solution

The fourth proportional to 6,706, 10,058.84 and 2,326.48 is: 3,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706 : 10,058.84 = 2,326.48 : x
  2. Step 2: Convert to fraction form
    6,706/10,058.84 = 2,326.48/x
  3. Step 3: Cross multiply
    6,706x = 10,058.84 × 2,326.48
  4. Step 4: Simplify right side
    6,706x = 23,401,690.08
  5. Step 5: Solve for x
    x = 23,401,690.08/6,706
  6. Step 6: Final answer
    x = 3,489.66

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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.