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Finding the Fourth Proportional to 10,000.86, 14,992.78 and 6,108

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Solution

The fourth proportional to 10,000.86, 14,992.78 and 6,108 is: 9,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.86 : 14,992.78 = 6,108 : x
  2. Step 2: Convert to fraction form
    10,000.86/14,992.78 = 6,108/x
  3. Step 3: Cross multiply
    10,000.86x = 14,992.78 × 6,108
  4. Step 4: Simplify right side
    10,000.86x = 91,575,900.24
  5. Step 5: Solve for x
    x = 91,575,900.24/10,000.86
  6. Step 6: Final answer
    x = 9,156.80

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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.