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Finding the Fourth Proportional to 7,138.59, 9,850.78 and 4,153.94

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Solution

The fourth proportional to 7,138.59, 9,850.78 and 4,153.94 is: 5,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.59 : 9,850.78 = 4,153.94 : x
  2. Step 2: Convert to fraction form
    7,138.59/9,850.78 = 4,153.94/x
  3. Step 3: Cross multiply
    7,138.59x = 9,850.78 × 4,153.94
  4. Step 4: Simplify right side
    7,138.59x = 40,919,549.07
  5. Step 5: Solve for x
    x = 40,919,549.07/7,138.59
  6. Step 6: Final answer
    x = 5,732.16

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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.