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Finding the Fourth Proportional to 8,334.66, 11,453.74 and 7,949.20

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Solution

The fourth proportional to 8,334.66, 11,453.74 and 7,949.20 is: 10,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.66 : 11,453.74 = 7,949.20 : x
  2. Step 2: Convert to fraction form
    8,334.66/11,453.74 = 7,949.20/x
  3. Step 3: Cross multiply
    8,334.66x = 11,453.74 × 7,949.20
  4. Step 4: Simplify right side
    8,334.66x = 91,048,070.01
  5. Step 5: Solve for x
    x = 91,048,070.01/8,334.66
  6. Step 6: Final answer
    x = 10,924.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.