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Finding the Fourth Proportional to 8,497.56, 11,723.40 and 6,264.75

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Solution

The fourth proportional to 8,497.56, 11,723.40 and 6,264.75 is: 8,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.56 : 11,723.40 = 6,264.75 : x
  2. Step 2: Convert to fraction form
    8,497.56/11,723.40 = 6,264.75/x
  3. Step 3: Cross multiply
    8,497.56x = 11,723.40 × 6,264.75
  4. Step 4: Simplify right side
    8,497.56x = 73,444,170.15
  5. Step 5: Solve for x
    x = 73,444,170.15/8,497.56
  6. Step 6: Final answer
    x = 8,642.97

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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.