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Finding the Fourth Proportional to 9,614.30, 14,396.94 and 8,138.07

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Solution

The fourth proportional to 9,614.30, 14,396.94 and 8,138.07 is: 12,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.30 : 14,396.94 = 8,138.07 : x
  2. Step 2: Convert to fraction form
    9,614.30/14,396.94 = 8,138.07/x
  3. Step 3: Cross multiply
    9,614.30x = 14,396.94 × 8,138.07
  4. Step 4: Simplify right side
    9,614.30x = 117,163,305.51
  5. Step 5: Solve for x
    x = 117,163,305.51/9,614.30
  6. Step 6: Final answer
    x = 12,186.36

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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.