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Finding the Fourth Proportional to 7,852.96, 11,779.20 and 3,691.92

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Solution

The fourth proportional to 7,852.96, 11,779.20 and 3,691.92 is: 5,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.96 : 11,779.20 = 3,691.92 : x
  2. Step 2: Convert to fraction form
    7,852.96/11,779.20 = 3,691.92/x
  3. Step 3: Cross multiply
    7,852.96x = 11,779.20 × 3,691.92
  4. Step 4: Simplify right side
    7,852.96x = 43,487,864.06
  5. Step 5: Solve for x
    x = 43,487,864.06/7,852.96
  6. Step 6: Final answer
    x = 5,537.77

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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.