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Finding the Fourth Proportional to 6,550.62, 9,827.55 and 3,087.06

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Solution

The fourth proportional to 6,550.62, 9,827.55 and 3,087.06 is: 4,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.62 : 9,827.55 = 3,087.06 : x
  2. Step 2: Convert to fraction form
    6,550.62/9,827.55 = 3,087.06/x
  3. Step 3: Cross multiply
    6,550.62x = 9,827.55 × 3,087.06
  4. Step 4: Simplify right side
    6,550.62x = 30,338,236.50
  5. Step 5: Solve for x
    x = 30,338,236.50/6,550.62
  6. Step 6: Final answer
    x = 4,631.35

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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.