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Finding the Fourth Proportional to 6,537.96, 9,800.23 and 2,587.64

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Solution

The fourth proportional to 6,537.96, 9,800.23 and 2,587.64 is: 3,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.96 : 9,800.23 = 2,587.64 : x
  2. Step 2: Convert to fraction form
    6,537.96/9,800.23 = 2,587.64/x
  3. Step 3: Cross multiply
    6,537.96x = 9,800.23 × 2,587.64
  4. Step 4: Simplify right side
    6,537.96x = 25,359,467.16
  5. Step 5: Solve for x
    x = 25,359,467.16/6,537.96
  6. Step 6: Final answer
    x = 3,878.80

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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.