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Finding the Fourth Proportional to 10,647.96, 14,695.27 and 6,400.39

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Solution

The fourth proportional to 10,647.96, 14,695.27 and 6,400.39 is: 8,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.96 : 14,695.27 = 6,400.39 : x
  2. Step 2: Convert to fraction form
    10,647.96/14,695.27 = 6,400.39/x
  3. Step 3: Cross multiply
    10,647.96x = 14,695.27 × 6,400.39
  4. Step 4: Simplify right side
    10,647.96x = 94,055,511.30
  5. Step 5: Solve for x
    x = 94,055,511.30/10,647.96
  6. Step 6: Final answer
    x = 8,833.20

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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.