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Finding the Fourth Proportional to 8,507.31, 11,736.81 and 6,274.48

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Solution

The fourth proportional to 8,507.31, 11,736.81 and 6,274.48 is: 8,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.31 : 11,736.81 = 6,274.48 : x
  2. Step 2: Convert to fraction form
    8,507.31/11,736.81 = 6,274.48/x
  3. Step 3: Cross multiply
    8,507.31x = 11,736.81 × 6,274.48
  4. Step 4: Simplify right side
    8,507.31x = 73,642,350.27
  5. Step 5: Solve for x
    x = 73,642,350.27/8,507.31
  6. Step 6: Final answer
    x = 8,656.36

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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.