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Finding the Fourth Proportional to 22,193.57, 33,292.57 and 6,398.99

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Solution

The fourth proportional to 22,193.57, 33,292.57 and 6,398.99 is: 9,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.57 : 33,292.57 = 6,398.99 : x
  2. Step 2: Convert to fraction form
    22,193.57/33,292.57 = 6,398.99/x
  3. Step 3: Cross multiply
    22,193.57x = 33,292.57 × 6,398.99
  4. Step 4: Simplify right side
    22,193.57x = 213,038,656.04
  5. Step 5: Solve for x
    x = 213,038,656.04/22,193.57
  6. Step 6: Final answer
    x = 9,599.12

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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.