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Finding the Fourth Proportional to 8,336.97, 11,507.13 and 5,153.00

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Solution

The fourth proportional to 8,336.97, 11,507.13 and 5,153.00 is: 7,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.97 : 11,507.13 = 5,153.00 : x
  2. Step 2: Convert to fraction form
    8,336.97/11,507.13 = 5,153.00/x
  3. Step 3: Cross multiply
    8,336.97x = 11,507.13 × 5,153.00
  4. Step 4: Simplify right side
    8,336.97x = 59,296,183.35
  5. Step 5: Solve for x
    x = 59,296,183.35/8,336.97
  6. Step 6: Final answer
    x = 7,112.44

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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.