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Finding the Fourth Proportional to 22,513.39, 33,733.11 and 7,714.24

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Solution

The fourth proportional to 22,513.39, 33,733.11 and 7,714.24 is: 11,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.39 : 33,733.11 = 7,714.24 : x
  2. Step 2: Convert to fraction form
    22,513.39/33,733.11 = 7,714.24/x
  3. Step 3: Cross multiply
    22,513.39x = 33,733.11 × 7,714.24
  4. Step 4: Simplify right side
    22,513.39x = 260,225,207.69
  5. Step 5: Solve for x
    x = 260,225,207.69/22,513.39
  6. Step 6: Final answer
    x = 11,558.68

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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.