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Finding the Fourth Proportional to 6,592.61, 9,891 and 2,897.96

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Solution

The fourth proportional to 6,592.61, 9,891 and 2,897.96 is: 4,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.61 : 9,891 = 2,897.96 : x
  2. Step 2: Convert to fraction form
    6,592.61/9,891 = 2,897.96/x
  3. Step 3: Cross multiply
    6,592.61x = 9,891 × 2,897.96
  4. Step 4: Simplify right side
    6,592.61x = 28,663,672.91
  5. Step 5: Solve for x
    x = 28,663,672.91/6,592.61
  6. Step 6: Final answer
    x = 4,347.85

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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.