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Finding the Fourth Proportional to 9,892.06, 14,827.66 and 6,771.24

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Solution

The fourth proportional to 9,892.06, 14,827.66 and 6,771.24 is: 10,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.06 : 14,827.66 = 6,771.24 : x
  2. Step 2: Convert to fraction form
    9,892.06/14,827.66 = 6,771.24/x
  3. Step 3: Cross multiply
    9,892.06x = 14,827.66 × 6,771.24
  4. Step 4: Simplify right side
    9,892.06x = 100,401,644.50
  5. Step 5: Solve for x
    x = 100,401,644.50/9,892.06
  6. Step 6: Final answer
    x = 10,149.72

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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.