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Finding the Fourth Proportional to 22,647.34, 33,971.46 and 7,856.74

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Solution

The fourth proportional to 22,647.34, 33,971.46 and 7,856.74 is: 11,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.34 : 33,971.46 = 7,856.74 : x
  2. Step 2: Convert to fraction form
    22,647.34/33,971.46 = 7,856.74/x
  3. Step 3: Cross multiply
    22,647.34x = 33,971.46 × 7,856.74
  4. Step 4: Simplify right side
    22,647.34x = 266,904,928.64
  5. Step 5: Solve for x
    x = 266,904,928.64/22,647.34
  6. Step 6: Final answer
    x = 11,785.27

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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.