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Finding the Fourth Proportional to 10,446.70, 15,679.50 and 4,903.24

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Solution

The fourth proportional to 10,446.70, 15,679.50 and 4,903.24 is: 7,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.70 : 15,679.50 = 4,903.24 : x
  2. Step 2: Convert to fraction form
    10,446.70/15,679.50 = 4,903.24/x
  3. Step 3: Cross multiply
    10,446.70x = 15,679.50 × 4,903.24
  4. Step 4: Simplify right side
    10,446.70x = 76,880,351.58
  5. Step 5: Solve for x
    x = 76,880,351.58/10,446.70
  6. Step 6: Final answer
    x = 7,359.30

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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.