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Finding the Fourth Proportional to 22,606.35, 33,910.30 and 9,097.35

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Solution

The fourth proportional to 22,606.35, 33,910.30 and 9,097.35 is: 13,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.35 : 33,910.30 = 9,097.35 : x
  2. Step 2: Convert to fraction form
    22,606.35/33,910.30 = 9,097.35/x
  3. Step 3: Cross multiply
    22,606.35x = 33,910.30 × 9,097.35
  4. Step 4: Simplify right side
    22,606.35x = 308,493,867.71
  5. Step 5: Solve for x
    x = 308,493,867.71/22,606.35
  6. Step 6: Final answer
    x = 13,646.34

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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.