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Finding the Fourth Proportional to 9,164.99, 13,749.84 and 4,238.16

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Solution

The fourth proportional to 9,164.99, 13,749.84 and 4,238.16 is: 6,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.99 : 13,749.84 = 4,238.16 : x
  2. Step 2: Convert to fraction form
    9,164.99/13,749.84 = 4,238.16/x
  3. Step 3: Cross multiply
    9,164.99x = 13,749.84 × 4,238.16
  4. Step 4: Simplify right side
    9,164.99x = 58,274,021.89
  5. Step 5: Solve for x
    x = 58,274,021.89/9,164.99
  6. Step 6: Final answer
    x = 6,358.33

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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.