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Finding the Fourth Proportional to 24,388.44, 36,578.88 and 7,746.30

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Solution

The fourth proportional to 24,388.44, 36,578.88 and 7,746.30 is: 11,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.44 : 36,578.88 = 7,746.30 : x
  2. Step 2: Convert to fraction form
    24,388.44/36,578.88 = 7,746.30/x
  3. Step 3: Cross multiply
    24,388.44x = 36,578.88 × 7,746.30
  4. Step 4: Simplify right side
    24,388.44x = 283,350,978.14
  5. Step 5: Solve for x
    x = 283,350,978.14/24,388.44
  6. Step 6: Final answer
    x = 11,618.25

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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.