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Finding the Fourth Proportional to 11,493.96, 15,859.74 and 6,779.17

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Solution

The fourth proportional to 11,493.96, 15,859.74 and 6,779.17 is: 9,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.96 : 15,859.74 = 6,779.17 : x
  2. Step 2: Convert to fraction form
    11,493.96/15,859.74 = 6,779.17/x
  3. Step 3: Cross multiply
    11,493.96x = 15,859.74 × 6,779.17
  4. Step 4: Simplify right side
    11,493.96x = 107,515,873.62
  5. Step 5: Solve for x
    x = 107,515,873.62/11,493.96
  6. Step 6: Final answer
    x = 9,354.12

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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.