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Finding the Fourth Proportional to 10,497, 15,748.06 and 3,201

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Solution

The fourth proportional to 10,497, 15,748.06 and 3,201 is: 4,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 15,748.06 = 3,201 : x
  2. Step 2: Convert to fraction form
    10,497/15,748.06 = 3,201/x
  3. Step 3: Cross multiply
    10,497x = 15,748.06 × 3,201
  4. Step 4: Simplify right side
    10,497x = 50,409,540.06
  5. Step 5: Solve for x
    x = 50,409,540.06/10,497
  6. Step 6: Final answer
    x = 4,802.28

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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.