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Finding the Fourth Proportional to 9,679.16, 13,359.66 and 5,951

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Solution

The fourth proportional to 9,679.16, 13,359.66 and 5,951 is: 8,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.16 : 13,359.66 = 5,951 : x
  2. Step 2: Convert to fraction form
    9,679.16/13,359.66 = 5,951/x
  3. Step 3: Cross multiply
    9,679.16x = 13,359.66 × 5,951
  4. Step 4: Simplify right side
    9,679.16x = 79,503,336.66
  5. Step 5: Solve for x
    x = 79,503,336.66/9,679.16
  6. Step 6: Final answer
    x = 8,213.87

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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.