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Finding the Fourth Proportional to 9,814.13, 14,701.14 and 8,165.37

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Solution

The fourth proportional to 9,814.13, 14,701.14 and 8,165.37 is: 12,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.13 : 14,701.14 = 8,165.37 : x
  2. Step 2: Convert to fraction form
    9,814.13/14,701.14 = 8,165.37/x
  3. Step 3: Cross multiply
    9,814.13x = 14,701.14 × 8,165.37
  4. Step 4: Simplify right side
    9,814.13x = 120,040,247.52
  5. Step 5: Solve for x
    x = 120,040,247.52/9,814.13
  6. Step 6: Final answer
    x = 12,231.38

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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.