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Finding the Fourth Proportional to 13,074.21, 18,043.29 and 7,971.82

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Solution

The fourth proportional to 13,074.21, 18,043.29 and 7,971.82 is: 11,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.21 : 18,043.29 = 7,971.82 : x
  2. Step 2: Convert to fraction form
    13,074.21/18,043.29 = 7,971.82/x
  3. Step 3: Cross multiply
    13,074.21x = 18,043.29 × 7,971.82
  4. Step 4: Simplify right side
    13,074.21x = 143,837,814.98
  5. Step 5: Solve for x
    x = 143,837,814.98/13,074.21
  6. Step 6: Final answer
    x = 11,001.64

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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.