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Finding the Fourth Proportional to 10,906.96, 15,051.96 and 6,191.44

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Solution

The fourth proportional to 10,906.96, 15,051.96 and 6,191.44 is: 8,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.96 : 15,051.96 = 6,191.44 : x
  2. Step 2: Convert to fraction form
    10,906.96/15,051.96 = 6,191.44/x
  3. Step 3: Cross multiply
    10,906.96x = 15,051.96 × 6,191.44
  4. Step 4: Simplify right side
    10,906.96x = 93,193,307.22
  5. Step 5: Solve for x
    x = 93,193,307.22/10,906.96
  6. Step 6: Final answer
    x = 8,544.39

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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.