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Finding the Fourth Proportional to 10,677, 14,734.14 and 5,897

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Solution

The fourth proportional to 10,677, 14,734.14 and 5,897 is: 8,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677 : 14,734.14 = 5,897 : x
  2. Step 2: Convert to fraction form
    10,677/14,734.14 = 5,897/x
  3. Step 3: Cross multiply
    10,677x = 14,734.14 × 5,897
  4. Step 4: Simplify right side
    10,677x = 86,887,223.58
  5. Step 5: Solve for x
    x = 86,887,223.58/10,677
  6. Step 6: Final answer
    x = 8,137.79

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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.