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Finding the Fourth Proportional to 8,349.24, 12,523.86 and 3,729

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Solution

The fourth proportional to 8,349.24, 12,523.86 and 3,729 is: 5,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.24 : 12,523.86 = 3,729 : x
  2. Step 2: Convert to fraction form
    8,349.24/12,523.86 = 3,729/x
  3. Step 3: Cross multiply
    8,349.24x = 12,523.86 × 3,729
  4. Step 4: Simplify right side
    8,349.24x = 46,701,473.94
  5. Step 5: Solve for x
    x = 46,701,473.94/8,349.24
  6. Step 6: Final answer
    x = 5,593.50

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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.