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Finding the Fourth Proportional to 22,407.84, 33,611.76 and 7,618.32

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Solution

The fourth proportional to 22,407.84, 33,611.76 and 7,618.32 is: 11,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.84 : 33,611.76 = 7,618.32 : x
  2. Step 2: Convert to fraction form
    22,407.84/33,611.76 = 7,618.32/x
  3. Step 3: Cross multiply
    22,407.84x = 33,611.76 × 7,618.32
  4. Step 4: Simplify right side
    22,407.84x = 256,065,143.44
  5. Step 5: Solve for x
    x = 256,065,143.44/22,407.84
  6. Step 6: Final answer
    x = 11,427.48

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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.