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Finding the Fourth Proportional to 7,459.97, 11,177.39 and 5,257.98

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Solution

The fourth proportional to 7,459.97, 11,177.39 and 5,257.98 is: 7,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.97 : 11,177.39 = 5,257.98 : x
  2. Step 2: Convert to fraction form
    7,459.97/11,177.39 = 5,257.98/x
  3. Step 3: Cross multiply
    7,459.97x = 11,177.39 × 5,257.98
  4. Step 4: Simplify right side
    7,459.97x = 58,770,506.22
  5. Step 5: Solve for x
    x = 58,770,506.22/7,459.97
  6. Step 6: Final answer
    x = 7,878.12

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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.