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Finding the Fourth Proportional to 8,249.60, 11,384.24 and 4,523.60

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Solution

The fourth proportional to 8,249.60, 11,384.24 and 4,523.60 is: 6,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.60 : 11,384.24 = 4,523.60 : x
  2. Step 2: Convert to fraction form
    8,249.60/11,384.24 = 4,523.60/x
  3. Step 3: Cross multiply
    8,249.60x = 11,384.24 × 4,523.60
  4. Step 4: Simplify right side
    8,249.60x = 51,497,748.06
  5. Step 5: Solve for x
    x = 51,497,748.06/8,249.60
  6. Step 6: Final answer
    x = 6,242.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.