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Finding the Fourth Proportional to 22,396.59, 33,593.67 and 6,813

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Solution

The fourth proportional to 22,396.59, 33,593.67 and 6,813 is: 10,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.59 : 33,593.67 = 6,813 : x
  2. Step 2: Convert to fraction form
    22,396.59/33,593.67 = 6,813/x
  3. Step 3: Cross multiply
    22,396.59x = 33,593.67 × 6,813
  4. Step 4: Simplify right side
    22,396.59x = 228,873,673.71
  5. Step 5: Solve for x
    x = 228,873,673.71/22,396.59
  6. Step 6: Final answer
    x = 10,219.13

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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.