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Finding the Fourth Proportional to 22,384.76, 33,578.76 and 6,802.36

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Solution

The fourth proportional to 22,384.76, 33,578.76 and 6,802.36 is: 10,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.76 : 33,578.76 = 6,802.36 : x
  2. Step 2: Convert to fraction form
    22,384.76/33,578.76 = 6,802.36/x
  3. Step 3: Cross multiply
    22,384.76x = 33,578.76 × 6,802.36
  4. Step 4: Simplify right side
    22,384.76x = 228,414,813.87
  5. Step 5: Solve for x
    x = 228,414,813.87/22,384.76
  6. Step 6: Final answer
    x = 10,204.03

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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.