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Finding the Fourth Proportional to 24,735, 37,104.66 and 6,267

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Solution

The fourth proportional to 24,735, 37,104.66 and 6,267 is: 9,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735 : 37,104.66 = 6,267 : x
  2. Step 2: Convert to fraction form
    24,735/37,104.66 = 6,267/x
  3. Step 3: Cross multiply
    24,735x = 37,104.66 × 6,267
  4. Step 4: Simplify right side
    24,735x = 232,534,904.22
  5. Step 5: Solve for x
    x = 232,534,904.22/24,735
  6. Step 6: Final answer
    x = 9,401.05

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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.