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Finding the Fourth Proportional to 11,374.92, 15,694.02 and 10,999.08

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Solution

The fourth proportional to 11,374.92, 15,694.02 and 10,999.08 is: 15,175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.92 : 15,694.02 = 10,999.08 : x
  2. Step 2: Convert to fraction form
    11,374.92/15,694.02 = 10,999.08/x
  3. Step 3: Cross multiply
    11,374.92x = 15,694.02 × 10,999.08
  4. Step 4: Simplify right side
    11,374.92x = 172,619,781.50
  5. Step 5: Solve for x
    x = 172,619,781.50/11,374.92
  6. Step 6: Final answer
    x = 15,175.47

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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.