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Finding the Fourth Proportional to 24,796, 37,196.16 and 6,328

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Solution

The fourth proportional to 24,796, 37,196.16 and 6,328 is: 9,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796 : 37,196.16 = 6,328 : x
  2. Step 2: Convert to fraction form
    24,796/37,196.16 = 6,328/x
  3. Step 3: Cross multiply
    24,796x = 37,196.16 × 6,328
  4. Step 4: Simplify right side
    24,796x = 235,377,300.48
  5. Step 5: Solve for x
    x = 235,377,300.48/24,796
  6. Step 6: Final answer
    x = 9,492.55

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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.