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Finding the Fourth Proportional to 6,728.76, 9,285.88 and 3,744.53

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Solution

The fourth proportional to 6,728.76, 9,285.88 and 3,744.53 is: 5,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.76 : 9,285.88 = 3,744.53 : x
  2. Step 2: Convert to fraction form
    6,728.76/9,285.88 = 3,744.53/x
  3. Step 3: Cross multiply
    6,728.76x = 9,285.88 × 3,744.53
  4. Step 4: Simplify right side
    6,728.76x = 34,771,256.24
  5. Step 5: Solve for x
    x = 34,771,256.24/6,728.76
  6. Step 6: Final answer
    x = 5,167.56

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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.