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Finding the Fourth Proportional to 6,500.37, 8,970.42 and 3,667.71

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Solution

The fourth proportional to 6,500.37, 8,970.42 and 3,667.71 is: 5,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.37 : 8,970.42 = 3,667.71 : x
  2. Step 2: Convert to fraction form
    6,500.37/8,970.42 = 3,667.71/x
  3. Step 3: Cross multiply
    6,500.37x = 8,970.42 × 3,667.71
  4. Step 4: Simplify right side
    6,500.37x = 32,900,899.14
  5. Step 5: Solve for x
    x = 32,900,899.14/6,500.37
  6. Step 6: Final answer
    x = 5,061.39

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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.