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Finding the Fourth Proportional to 11,797.86, 17,697.78 and 3,032.76

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Solution

The fourth proportional to 11,797.86, 17,697.78 and 3,032.76 is: 4,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.86 : 17,697.78 = 3,032.76 : x
  2. Step 2: Convert to fraction form
    11,797.86/17,697.78 = 3,032.76/x
  3. Step 3: Cross multiply
    11,797.86x = 17,697.78 × 3,032.76
  4. Step 4: Simplify right side
    11,797.86x = 53,673,119.27
  5. Step 5: Solve for x
    x = 53,673,119.27/11,797.86
  6. Step 6: Final answer
    x = 4,549.39

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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.