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Finding the Fourth Proportional to 24,388.46, 36,578.86 and 7,746.29

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Solution

The fourth proportional to 24,388.46, 36,578.86 and 7,746.29 is: 11,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.46 : 36,578.86 = 7,746.29 : x
  2. Step 2: Convert to fraction form
    24,388.46/36,578.86 = 7,746.29/x
  3. Step 3: Cross multiply
    24,388.46x = 36,578.86 × 7,746.29
  4. Step 4: Simplify right side
    24,388.46x = 283,350,529.51
  5. Step 5: Solve for x
    x = 283,350,529.51/24,388.46
  6. Step 6: Final answer
    x = 11,618.22

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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.