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Finding the Fourth Proportional to 12,495.14, 17,243.28 and 6,906.14

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Solution

The fourth proportional to 12,495.14, 17,243.28 and 6,906.14 is: 9,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.14 : 17,243.28 = 6,906.14 : x
  2. Step 2: Convert to fraction form
    12,495.14/17,243.28 = 6,906.14/x
  3. Step 3: Cross multiply
    12,495.14x = 17,243.28 × 6,906.14
  4. Step 4: Simplify right side
    12,495.14x = 119,084,505.74
  5. Step 5: Solve for x
    x = 119,084,505.74/12,495.14
  6. Step 6: Final answer
    x = 9,530.47

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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.