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Finding the Fourth Proportional to 7,670.85, 11,494.83 and 3,968.13

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Solution

The fourth proportional to 7,670.85, 11,494.83 and 3,968.13 is: 5,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.85 : 11,494.83 = 3,968.13 : x
  2. Step 2: Convert to fraction form
    7,670.85/11,494.83 = 3,968.13/x
  3. Step 3: Cross multiply
    7,670.85x = 11,494.83 × 3,968.13
  4. Step 4: Simplify right side
    7,670.85x = 45,612,979.77
  5. Step 5: Solve for x
    x = 45,612,979.77/7,670.85
  6. Step 6: Final answer
    x = 5,946.27

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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.