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Finding the Fourth Proportional to 11,443.51, 15,791.97 and 6,407.74

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Solution

The fourth proportional to 11,443.51, 15,791.97 and 6,407.74 is: 8,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.51 : 15,791.97 = 6,407.74 : x
  2. Step 2: Convert to fraction form
    11,443.51/15,791.97 = 6,407.74/x
  3. Step 3: Cross multiply
    11,443.51x = 15,791.97 × 6,407.74
  4. Step 4: Simplify right side
    11,443.51x = 101,190,837.85
  5. Step 5: Solve for x
    x = 101,190,837.85/11,443.51
  6. Step 6: Final answer
    x = 8,842.64

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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.