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Finding the Fourth Proportional to 6,587, 9,091.58 and 4,349.32

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Solution

The fourth proportional to 6,587, 9,091.58 and 4,349.32 is: 6,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587 : 9,091.58 = 4,349.32 : x
  2. Step 2: Convert to fraction form
    6,587/9,091.58 = 4,349.32/x
  3. Step 3: Cross multiply
    6,587x = 9,091.58 × 4,349.32
  4. Step 4: Simplify right side
    6,587x = 39,542,190.73
  5. Step 5: Solve for x
    x = 39,542,190.73/6,587
  6. Step 6: Final answer
    x = 6,003.07

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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.