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Finding the Fourth Proportional to 6,777.29, 9,352.53 and 3,946.34

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Solution

The fourth proportional to 6,777.29, 9,352.53 and 3,946.34 is: 5,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.29 : 9,352.53 = 3,946.34 : x
  2. Step 2: Convert to fraction form
    6,777.29/9,352.53 = 3,946.34/x
  3. Step 3: Cross multiply
    6,777.29x = 9,352.53 × 3,946.34
  4. Step 4: Simplify right side
    6,777.29x = 36,908,286.62
  5. Step 5: Solve for x
    x = 36,908,286.62/6,777.29
  6. Step 6: Final answer
    x = 5,445.87

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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.