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Finding the Fourth Proportional to 11,773.96, 17,640.18 and 6,215.06

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Solution

The fourth proportional to 11,773.96, 17,640.18 and 6,215.06 is: 9,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.96 : 17,640.18 = 6,215.06 : x
  2. Step 2: Convert to fraction form
    11,773.96/17,640.18 = 6,215.06/x
  3. Step 3: Cross multiply
    11,773.96x = 17,640.18 × 6,215.06
  4. Step 4: Simplify right side
    11,773.96x = 109,634,688.91
  5. Step 5: Solve for x
    x = 109,634,688.91/11,773.96
  6. Step 6: Final answer
    x = 9,311.63

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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.