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Finding the Fourth Proportional to 29,824.58, 44,735.82 and 7,638.14

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Solution

The fourth proportional to 29,824.58, 44,735.82 and 7,638.14 is: 11,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.58 : 44,735.82 = 7,638.14 : x
  2. Step 2: Convert to fraction form
    29,824.58/44,735.82 = 7,638.14/x
  3. Step 3: Cross multiply
    29,824.58x = 44,735.82 × 7,638.14
  4. Step 4: Simplify right side
    29,824.58x = 341,698,232.50
  5. Step 5: Solve for x
    x = 341,698,232.50/29,824.58
  6. Step 6: Final answer
    x = 11,456.94

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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.