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Finding the Fourth Proportional to 8,345.97, 11,505.24 and 5,984.01

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Solution

The fourth proportional to 8,345.97, 11,505.24 and 5,984.01 is: 8,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.97 : 11,505.24 = 5,984.01 : x
  2. Step 2: Convert to fraction form
    8,345.97/11,505.24 = 5,984.01/x
  3. Step 3: Cross multiply
    8,345.97x = 11,505.24 × 5,984.01
  4. Step 4: Simplify right side
    8,345.97x = 68,847,471.21
  5. Step 5: Solve for x
    x = 68,847,471.21/8,345.97
  6. Step 6: Final answer
    x = 8,249.19

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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.