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Finding the Fourth Proportional to 6,521.86, 9,000.01 and 3,537.62

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Solution

The fourth proportional to 6,521.86, 9,000.01 and 3,537.62 is: 4,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.86 : 9,000.01 = 3,537.62 : x
  2. Step 2: Convert to fraction form
    6,521.86/9,000.01 = 3,537.62/x
  3. Step 3: Cross multiply
    6,521.86x = 9,000.01 × 3,537.62
  4. Step 4: Simplify right side
    6,521.86x = 31,838,615.38
  5. Step 5: Solve for x
    x = 31,838,615.38/6,521.86
  6. Step 6: Final answer
    x = 4,881.83

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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.