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Finding the Fourth Proportional to 10,299, 15,450.72 and 4,143

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Solution

The fourth proportional to 10,299, 15,450.72 and 4,143 is: 6,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 15,450.72 = 4,143 : x
  2. Step 2: Convert to fraction form
    10,299/15,450.72 = 4,143/x
  3. Step 3: Cross multiply
    10,299x = 15,450.72 × 4,143
  4. Step 4: Simplify right side
    10,299x = 64,012,332.96
  5. Step 5: Solve for x
    x = 64,012,332.96/10,299
  6. Step 6: Final answer
    x = 6,215.39

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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.