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Finding the Fourth Proportional to 22,424.38, 33,636.24 and 7,643.58

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Solution

The fourth proportional to 22,424.38, 33,636.24 and 7,643.58 is: 11,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.38 : 33,636.24 = 7,643.58 : x
  2. Step 2: Convert to fraction form
    22,424.38/33,636.24 = 7,643.58/x
  3. Step 3: Cross multiply
    22,424.38x = 33,636.24 × 7,643.58
  4. Step 4: Simplify right side
    22,424.38x = 257,101,291.34
  5. Step 5: Solve for x
    x = 257,101,291.34/22,424.38
  6. Step 6: Final answer
    x = 11,465.26

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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.