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Finding the Fourth Proportional to 22,394.92, 33,582.94 and 6,809

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Solution

The fourth proportional to 22,394.92, 33,582.94 and 6,809 is: 10,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394.92 : 33,582.94 = 6,809 : x
  2. Step 2: Convert to fraction form
    22,394.92/33,582.94 = 6,809/x
  3. Step 3: Cross multiply
    22,394.92x = 33,582.94 × 6,809
  4. Step 4: Simplify right side
    22,394.92x = 228,666,238.46
  5. Step 5: Solve for x
    x = 228,666,238.46/22,394.92
  6. Step 6: Final answer
    x = 10,210.63

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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.