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Finding the Fourth Proportional to 7,892.83, 11,835.80 and 4,194.17

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Solution

The fourth proportional to 7,892.83, 11,835.80 and 4,194.17 is: 6,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.83 : 11,835.80 = 4,194.17 : x
  2. Step 2: Convert to fraction form
    7,892.83/11,835.80 = 4,194.17/x
  3. Step 3: Cross multiply
    7,892.83x = 11,835.80 × 4,194.17
  4. Step 4: Simplify right side
    7,892.83x = 49,641,357.29
  5. Step 5: Solve for x
    x = 49,641,357.29/7,892.83
  6. Step 6: Final answer
    x = 6,289.42

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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.