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Finding the Fourth Proportional to 10,105.88, 13,946.13 and 6,575.09

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Solution

The fourth proportional to 10,105.88, 13,946.13 and 6,575.09 is: 9,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.88 : 13,946.13 = 6,575.09 : x
  2. Step 2: Convert to fraction form
    10,105.88/13,946.13 = 6,575.09/x
  3. Step 3: Cross multiply
    10,105.88x = 13,946.13 × 6,575.09
  4. Step 4: Simplify right side
    10,105.88x = 91,696,990.17
  5. Step 5: Solve for x
    x = 91,696,990.17/10,105.88
  6. Step 6: Final answer
    x = 9,073.63

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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.