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Finding the Fourth Proportional to 10,714.38, 14,786.01 and 6,465.66

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Solution

The fourth proportional to 10,714.38, 14,786.01 and 6,465.66 is: 8,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.38 : 14,786.01 = 6,465.66 : x
  2. Step 2: Convert to fraction form
    10,714.38/14,786.01 = 6,465.66/x
  3. Step 3: Cross multiply
    10,714.38x = 14,786.01 × 6,465.66
  4. Step 4: Simplify right side
    10,714.38x = 95,601,313.42
  5. Step 5: Solve for x
    x = 95,601,313.42/10,714.38
  6. Step 6: Final answer
    x = 8,922.71

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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.