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Finding the Fourth Proportional to 7,850.75, 10,825.19 and 6,054.17

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Solution

The fourth proportional to 7,850.75, 10,825.19 and 6,054.17 is: 8,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.75 : 10,825.19 = 6,054.17 : x
  2. Step 2: Convert to fraction form
    7,850.75/10,825.19 = 6,054.17/x
  3. Step 3: Cross multiply
    7,850.75x = 10,825.19 × 6,054.17
  4. Step 4: Simplify right side
    7,850.75x = 65,537,512.90
  5. Step 5: Solve for x
    x = 65,537,512.90/7,850.75
  6. Step 6: Final answer
    x = 8,347.94

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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.