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Finding the Fourth Proportional to 24,410.77, 36,615.47 and 7,771.80

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Solution

The fourth proportional to 24,410.77, 36,615.47 and 7,771.80 is: 11,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.77 : 36,615.47 = 7,771.80 : x
  2. Step 2: Convert to fraction form
    24,410.77/36,615.47 = 7,771.80/x
  3. Step 3: Cross multiply
    24,410.77x = 36,615.47 × 7,771.80
  4. Step 4: Simplify right side
    24,410.77x = 284,568,109.75
  5. Step 5: Solve for x
    x = 284,568,109.75/24,410.77
  6. Step 6: Final answer
    x = 11,657.48

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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.