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Finding the Fourth Proportional to 6,693.42, 9,236.78 and 3,709.22

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Solution

The fourth proportional to 6,693.42, 9,236.78 and 3,709.22 is: 5,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.42 : 9,236.78 = 3,709.22 : x
  2. Step 2: Convert to fraction form
    6,693.42/9,236.78 = 3,709.22/x
  3. Step 3: Cross multiply
    6,693.42x = 9,236.78 × 3,709.22
  4. Step 4: Simplify right side
    6,693.42x = 34,261,253.66
  5. Step 5: Solve for x
    x = 34,261,253.66/6,693.42
  6. Step 6: Final answer
    x = 5,118.65

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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.