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Finding the Fourth Proportional to 8,005.52, 11,046.81 and 4,420.24

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Solution

The fourth proportional to 8,005.52, 11,046.81 and 4,420.24 is: 6,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.52 : 11,046.81 = 4,420.24 : x
  2. Step 2: Convert to fraction form
    8,005.52/11,046.81 = 4,420.24/x
  3. Step 3: Cross multiply
    8,005.52x = 11,046.81 × 4,420.24
  4. Step 4: Simplify right side
    8,005.52x = 48,829,523.82
  5. Step 5: Solve for x
    x = 48,829,523.82/8,005.52
  6. Step 6: Final answer
    x = 6,099.49

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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.