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Finding the Fourth Proportional to 9,796.91, 13,523.60 and 6,814.47

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Solution

The fourth proportional to 9,796.91, 13,523.60 and 6,814.47 is: 9,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.91 : 13,523.60 = 6,814.47 : x
  2. Step 2: Convert to fraction form
    9,796.91/13,523.60 = 6,814.47/x
  3. Step 3: Cross multiply
    9,796.91x = 13,523.60 × 6,814.47
  4. Step 4: Simplify right side
    9,796.91x = 92,156,198.71
  5. Step 5: Solve for x
    x = 92,156,198.71/9,796.91
  6. Step 6: Final answer
    x = 9,406.66

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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.