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Finding the Fourth Proportional to 6,772.85, 9,347.54 and 3,941.90

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Solution

The fourth proportional to 6,772.85, 9,347.54 and 3,941.90 is: 5,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.85 : 9,347.54 = 3,941.90 : x
  2. Step 2: Convert to fraction form
    6,772.85/9,347.54 = 3,941.90/x
  3. Step 3: Cross multiply
    6,772.85x = 9,347.54 × 3,941.90
  4. Step 4: Simplify right side
    6,772.85x = 36,847,001.48
  5. Step 5: Solve for x
    x = 36,847,001.48/6,772.85
  6. Step 6: Final answer
    x = 5,440.40

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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.