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Finding the Fourth Proportional to 8,398.50, 11,584.02 and 7,277.44

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Solution

The fourth proportional to 8,398.50, 11,584.02 and 7,277.44 is: 10,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.50 : 11,584.02 = 7,277.44 : x
  2. Step 2: Convert to fraction form
    8,398.50/11,584.02 = 7,277.44/x
  3. Step 3: Cross multiply
    8,398.50x = 11,584.02 × 7,277.44
  4. Step 4: Simplify right side
    8,398.50x = 84,302,010.51
  5. Step 5: Solve for x
    x = 84,302,010.51/8,398.50
  6. Step 6: Final answer
    x = 10,037.75

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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.