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Finding the Fourth Proportional to 8,294.75, 11,448.23 and 4,939.50

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Solution

The fourth proportional to 8,294.75, 11,448.23 and 4,939.50 is: 6,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.75 : 11,448.23 = 4,939.50 : x
  2. Step 2: Convert to fraction form
    8,294.75/11,448.23 = 4,939.50/x
  3. Step 3: Cross multiply
    8,294.75x = 11,448.23 × 4,939.50
  4. Step 4: Simplify right side
    8,294.75x = 56,548,507.39
  5. Step 5: Solve for x
    x = 56,548,507.39/8,294.75
  6. Step 6: Final answer
    x = 6,817.39

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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.