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Finding the Fourth Proportional to 6,005.50, 8,997.86 and 4,671.71

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Solution

The fourth proportional to 6,005.50, 8,997.86 and 4,671.71 is: 6,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.50 : 8,997.86 = 4,671.71 : x
  2. Step 2: Convert to fraction form
    6,005.50/8,997.86 = 4,671.71/x
  3. Step 3: Cross multiply
    6,005.50x = 8,997.86 × 4,671.71
  4. Step 4: Simplify right side
    6,005.50x = 42,035,347.55
  5. Step 5: Solve for x
    x = 42,035,347.55/6,005.50
  6. Step 6: Final answer
    x = 6,999.48

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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.