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Finding the Fourth Proportional to 24,669, 37,003.68 and 6,201

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Solution

The fourth proportional to 24,669, 37,003.68 and 6,201 is: 9,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669 : 37,003.68 = 6,201 : x
  2. Step 2: Convert to fraction form
    24,669/37,003.68 = 6,201/x
  3. Step 3: Cross multiply
    24,669x = 37,003.68 × 6,201
  4. Step 4: Simplify right side
    24,669x = 229,459,819.68
  5. Step 5: Solve for x
    x = 229,459,819.68/24,669
  6. Step 6: Final answer
    x = 9,301.55

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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.