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Finding the Fourth Proportional to 7,793.60, 11,742.99 and 6,437.32

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Solution

The fourth proportional to 7,793.60, 11,742.99 and 6,437.32 is: 9,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.60 : 11,742.99 = 6,437.32 : x
  2. Step 2: Convert to fraction form
    7,793.60/11,742.99 = 6,437.32/x
  3. Step 3: Cross multiply
    7,793.60x = 11,742.99 × 6,437.32
  4. Step 4: Simplify right side
    7,793.60x = 75,593,355.03
  5. Step 5: Solve for x
    x = 75,593,355.03/7,793.60
  6. Step 6: Final answer
    x = 9,699.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.