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Finding the Fourth Proportional to 22,610.74, 33,905.16 and 7,814.47

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Solution

The fourth proportional to 22,610.74, 33,905.16 and 7,814.47 is: 11,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.74 : 33,905.16 = 7,814.47 : x
  2. Step 2: Convert to fraction form
    22,610.74/33,905.16 = 7,814.47/x
  3. Step 3: Cross multiply
    22,610.74x = 33,905.16 × 7,814.47
  4. Step 4: Simplify right side
    22,610.74x = 264,950,855.67
  5. Step 5: Solve for x
    x = 264,950,855.67/22,610.74
  6. Step 6: Final answer
    x = 11,717.92

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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.