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Finding the Fourth Proportional to 6,756.53, 9,324.16 and 4,238.74

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Solution

The fourth proportional to 6,756.53, 9,324.16 and 4,238.74 is: 5,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.53 : 9,324.16 = 4,238.74 : x
  2. Step 2: Convert to fraction form
    6,756.53/9,324.16 = 4,238.74/x
  3. Step 3: Cross multiply
    6,756.53x = 9,324.16 × 4,238.74
  4. Step 4: Simplify right side
    6,756.53x = 39,522,689.96
  5. Step 5: Solve for x
    x = 39,522,689.96/6,756.53
  6. Step 6: Final answer
    x = 5,849.55

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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.