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Finding the Fourth Proportional to 15,750, 23,628.84 and 4,806

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Solution

The fourth proportional to 15,750, 23,628.84 and 4,806 is: 7,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750 : 23,628.84 = 4,806 : x
  2. Step 2: Convert to fraction form
    15,750/23,628.84 = 4,806/x
  3. Step 3: Cross multiply
    15,750x = 23,628.84 × 4,806
  4. Step 4: Simplify right side
    15,750x = 113,560,205.04
  5. Step 5: Solve for x
    x = 113,560,205.04/15,750
  6. Step 6: Final answer
    x = 7,210.17

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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.