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Finding the Fourth Proportional to 6,587, 9,877.09 and 2,425.56

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Solution

The fourth proportional to 6,587, 9,877.09 and 2,425.56 is: 3,637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587 : 9,877.09 = 2,425.56 : x
  2. Step 2: Convert to fraction form
    6,587/9,877.09 = 2,425.56/x
  3. Step 3: Cross multiply
    6,587x = 9,877.09 × 2,425.56
  4. Step 4: Simplify right side
    6,587x = 23,957,474.42
  5. Step 5: Solve for x
    x = 23,957,474.42/6,587
  6. Step 6: Final answer
    x = 3,637.08

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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.