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Finding the Fourth Proportional to 11,886.31, 17,829.17 and 6,896.12

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Solution

The fourth proportional to 11,886.31, 17,829.17 and 6,896.12 is: 10,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.31 : 17,829.17 = 6,896.12 : x
  2. Step 2: Convert to fraction form
    11,886.31/17,829.17 = 6,896.12/x
  3. Step 3: Cross multiply
    11,886.31x = 17,829.17 × 6,896.12
  4. Step 4: Simplify right side
    11,886.31x = 122,952,061.34
  5. Step 5: Solve for x
    x = 122,952,061.34/11,886.31
  6. Step 6: Final answer
    x = 10,344.01

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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.