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Finding the Fourth Proportional to 11,749.15, 17,611.43 and 7,306.81

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Solution

The fourth proportional to 11,749.15, 17,611.43 and 7,306.81 is: 10,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.15 : 17,611.43 = 7,306.81 : x
  2. Step 2: Convert to fraction form
    11,749.15/17,611.43 = 7,306.81/x
  3. Step 3: Cross multiply
    11,749.15x = 17,611.43 × 7,306.81
  4. Step 4: Simplify right side
    11,749.15x = 128,683,292.28
  5. Step 5: Solve for x
    x = 128,683,292.28/11,749.15
  6. Step 6: Final answer
    x = 10,952.56

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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.