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Finding the Fourth Proportional to 6,706.56, 10,058.16 and 3,194.40

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Solution

The fourth proportional to 6,706.56, 10,058.16 and 3,194.40 is: 4,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.56 : 10,058.16 = 3,194.40 : x
  2. Step 2: Convert to fraction form
    6,706.56/10,058.16 = 3,194.40/x
  3. Step 3: Cross multiply
    6,706.56x = 10,058.16 × 3,194.40
  4. Step 4: Simplify right side
    6,706.56x = 32,129,786.30
  5. Step 5: Solve for x
    x = 32,129,786.30/6,706.56
  6. Step 6: Final answer
    x = 4,790.80

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1.5x scale

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.