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Finding the Fourth Proportional to 8,509.97, 11,739.66 and 5,486.24

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Solution

The fourth proportional to 8,509.97, 11,739.66 and 5,486.24 is: 7,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.97 : 11,739.66 = 5,486.24 : x
  2. Step 2: Convert to fraction form
    8,509.97/11,739.66 = 5,486.24/x
  3. Step 3: Cross multiply
    8,509.97x = 11,739.66 × 5,486.24
  4. Step 4: Simplify right side
    8,509.97x = 64,406,592.28
  5. Step 5: Solve for x
    x = 64,406,592.28/8,509.97
  6. Step 6: Final answer
    x = 7,568.37

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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.