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Finding the Fourth Proportional to 10,319, 14,234.14 and 6,127

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Solution

The fourth proportional to 10,319, 14,234.14 and 6,127 is: 8,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 14,234.14 = 6,127 : x
  2. Step 2: Convert to fraction form
    10,319/14,234.14 = 6,127/x
  3. Step 3: Cross multiply
    10,319x = 14,234.14 × 6,127
  4. Step 4: Simplify right side
    10,319x = 87,212,575.78
  5. Step 5: Solve for x
    x = 87,212,575.78/10,319
  6. Step 6: Final answer
    x = 8,451.65

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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.