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Finding the Fourth Proportional to 11,969.32, 17,929.27 and 7,024.09

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Solution

The fourth proportional to 11,969.32, 17,929.27 and 7,024.09 is: 10,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.32 : 17,929.27 = 7,024.09 : x
  2. Step 2: Convert to fraction form
    11,969.32/17,929.27 = 7,024.09/x
  3. Step 3: Cross multiply
    11,969.32x = 17,929.27 × 7,024.09
  4. Step 4: Simplify right side
    11,969.32x = 125,936,806.11
  5. Step 5: Solve for x
    x = 125,936,806.11/11,969.32
  6. Step 6: Final answer
    x = 10,521.63

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1.5x scale

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.