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Finding the Fourth Proportional to 22,322, 33,463.92 and 9,166.16

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Solution

The fourth proportional to 22,322, 33,463.92 and 9,166.16 is: 13,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322 : 33,463.92 = 9,166.16 : x
  2. Step 2: Convert to fraction form
    22,322/33,463.92 = 9,166.16/x
  3. Step 3: Cross multiply
    22,322x = 33,463.92 × 9,166.16
  4. Step 4: Simplify right side
    22,322x = 306,735,644.95
  5. Step 5: Solve for x
    x = 306,735,644.95/22,322
  6. Step 6: Final answer
    x = 13,741.41

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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.