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Finding the Fourth Proportional to 12,349.50, 17,042.31 and 6,760.50

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Solution

The fourth proportional to 12,349.50, 17,042.31 and 6,760.50 is: 9,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.50 : 17,042.31 = 6,760.50 : x
  2. Step 2: Convert to fraction form
    12,349.50/17,042.31 = 6,760.50/x
  3. Step 3: Cross multiply
    12,349.50x = 17,042.31 × 6,760.50
  4. Step 4: Simplify right side
    12,349.50x = 115,214,536.76
  5. Step 5: Solve for x
    x = 115,214,536.76/12,349.50
  6. Step 6: Final answer
    x = 9,329.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.