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Finding the Fourth Proportional to 8,243.51, 11,370.98 and 6,733.26

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Solution

The fourth proportional to 8,243.51, 11,370.98 and 6,733.26 is: 9,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.51 : 11,370.98 = 6,733.26 : x
  2. Step 2: Convert to fraction form
    8,243.51/11,370.98 = 6,733.26/x
  3. Step 3: Cross multiply
    8,243.51x = 11,370.98 × 6,733.26
  4. Step 4: Simplify right side
    8,243.51x = 76,563,781.63
  5. Step 5: Solve for x
    x = 76,563,781.63/8,243.51
  6. Step 6: Final answer
    x = 9,287.77

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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.