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Finding the Fourth Proportional to 7,914.26, 11,857.74 and 5,244.18

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Solution

The fourth proportional to 7,914.26, 11,857.74 and 5,244.18 is: 7,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.26 : 11,857.74 = 5,244.18 : x
  2. Step 2: Convert to fraction form
    7,914.26/11,857.74 = 5,244.18/x
  3. Step 3: Cross multiply
    7,914.26x = 11,857.74 × 5,244.18
  4. Step 4: Simplify right side
    7,914.26x = 62,184,122.95
  5. Step 5: Solve for x
    x = 62,184,122.95/7,914.26
  6. Step 6: Final answer
    x = 7,857.23

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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.