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Finding the Fourth Proportional to 7,144.12, 9,863.94 and 4,627.48

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Solution

The fourth proportional to 7,144.12, 9,863.94 and 4,627.48 is: 6,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.12 : 9,863.94 = 4,627.48 : x
  2. Step 2: Convert to fraction form
    7,144.12/9,863.94 = 4,627.48/x
  3. Step 3: Cross multiply
    7,144.12x = 9,863.94 × 4,627.48
  4. Step 4: Simplify right side
    7,144.12x = 45,645,185.07
  5. Step 5: Solve for x
    x = 45,645,185.07/7,144.12
  6. Step 6: Final answer
    x = 6,389.20

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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.