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Finding the Fourth Proportional to 22,646.39, 33,973.22 and 7,864.09

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Solution

The fourth proportional to 22,646.39, 33,973.22 and 7,864.09 is: 11,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.39 : 33,973.22 = 7,864.09 : x
  2. Step 2: Convert to fraction form
    22,646.39/33,973.22 = 7,864.09/x
  3. Step 3: Cross multiply
    22,646.39x = 33,973.22 × 7,864.09
  4. Step 4: Simplify right side
    22,646.39x = 267,168,394.40
  5. Step 5: Solve for x
    x = 267,168,394.40/22,646.39
  6. Step 6: Final answer
    x = 11,797.40

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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.