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Finding the Fourth Proportional to 10,141.50, 15,214.17 and 4,669.50

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Solution

The fourth proportional to 10,141.50, 15,214.17 and 4,669.50 is: 7,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.50 : 15,214.17 = 4,669.50 : x
  2. Step 2: Convert to fraction form
    10,141.50/15,214.17 = 4,669.50/x
  3. Step 3: Cross multiply
    10,141.50x = 15,214.17 × 4,669.50
  4. Step 4: Simplify right side
    10,141.50x = 71,042,566.82
  5. Step 5: Solve for x
    x = 71,042,566.82/10,141.50
  6. Step 6: Final answer
    x = 7,005.13

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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.