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Finding the Fourth Proportional to 7,906.85, 10,912.50 and 4,549.58

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Solution

The fourth proportional to 7,906.85, 10,912.50 and 4,549.58 is: 6,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.85 : 10,912.50 = 4,549.58 : x
  2. Step 2: Convert to fraction form
    7,906.85/10,912.50 = 4,549.58/x
  3. Step 3: Cross multiply
    7,906.85x = 10,912.50 × 4,549.58
  4. Step 4: Simplify right side
    7,906.85x = 49,647,237.19
  5. Step 5: Solve for x
    x = 49,647,237.19/7,906.85
  6. Step 6: Final answer
    x = 6,279.02

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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.