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Finding the Fourth Proportional to 13,010.41, 17,954.81 and 7,973.66

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Solution

The fourth proportional to 13,010.41, 17,954.81 and 7,973.66 is: 11,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.41 : 17,954.81 = 7,973.66 : x
  2. Step 2: Convert to fraction form
    13,010.41/17,954.81 = 7,973.66/x
  3. Step 3: Cross multiply
    13,010.41x = 17,954.81 × 7,973.66
  4. Step 4: Simplify right side
    13,010.41x = 143,165,510.44
  5. Step 5: Solve for x
    x = 143,165,510.44/13,010.41
  6. Step 6: Final answer
    x = 11,003.92

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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.