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Finding the Fourth Proportional to 12,297.35, 16,971.78 and 6,992.96

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Solution

The fourth proportional to 12,297.35, 16,971.78 and 6,992.96 is: 9,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.35 : 16,971.78 = 6,992.96 : x
  2. Step 2: Convert to fraction form
    12,297.35/16,971.78 = 6,992.96/x
  3. Step 3: Cross multiply
    12,297.35x = 16,971.78 × 6,992.96
  4. Step 4: Simplify right side
    12,297.35x = 118,682,978.67
  5. Step 5: Solve for x
    x = 118,682,978.67/12,297.35
  6. Step 6: Final answer
    x = 9,651.10

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1.5x scale

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.