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Finding the Fourth Proportional to 11,779.42, 17,675.11 and 7,833.42

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Solution

The fourth proportional to 11,779.42, 17,675.11 and 7,833.42 is: 11,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.42 : 17,675.11 = 7,833.42 : x
  2. Step 2: Convert to fraction form
    11,779.42/17,675.11 = 7,833.42/x
  3. Step 3: Cross multiply
    11,779.42x = 17,675.11 × 7,833.42
  4. Step 4: Simplify right side
    11,779.42x = 138,456,636.25
  5. Step 5: Solve for x
    x = 138,456,636.25/11,779.42
  6. Step 6: Final answer
    x = 11,754.11

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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.