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Finding the Fourth Proportional to 12,932.28, 19,398.42 and 6,003

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Solution

The fourth proportional to 12,932.28, 19,398.42 and 6,003 is: 9,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.28 : 19,398.42 = 6,003 : x
  2. Step 2: Convert to fraction form
    12,932.28/19,398.42 = 6,003/x
  3. Step 3: Cross multiply
    12,932.28x = 19,398.42 × 6,003
  4. Step 4: Simplify right side
    12,932.28x = 116,448,715.26
  5. Step 5: Solve for x
    x = 116,448,715.26/12,932.28
  6. Step 6: Final answer
    x = 9,004.50

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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.