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Finding the Fourth Proportional to 9,893.82, 14,822.10 and 7,691.85

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Solution

The fourth proportional to 9,893.82, 14,822.10 and 7,691.85 is: 11,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.82 : 14,822.10 = 7,691.85 : x
  2. Step 2: Convert to fraction form
    9,893.82/14,822.10 = 7,691.85/x
  3. Step 3: Cross multiply
    9,893.82x = 14,822.10 × 7,691.85
  4. Step 4: Simplify right side
    9,893.82x = 114,009,369.89
  5. Step 5: Solve for x
    x = 114,009,369.89/9,893.82
  6. Step 6: Final answer
    x = 11,523.29

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1.5x scale

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.