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Finding the Fourth Proportional to 6,144.57, 9,207.52 and 4,502.21

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Solution

The fourth proportional to 6,144.57, 9,207.52 and 4,502.21 is: 6,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.57 : 9,207.52 = 4,502.21 : x
  2. Step 2: Convert to fraction form
    6,144.57/9,207.52 = 4,502.21/x
  3. Step 3: Cross multiply
    6,144.57x = 9,207.52 × 4,502.21
  4. Step 4: Simplify right side
    6,144.57x = 41,454,131.33
  5. Step 5: Solve for x
    x = 41,454,131.33/6,144.57
  6. Step 6: Final answer
    x = 6,746.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.