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Finding the Fourth Proportional to 13,462.11, 18,578.59 and 8,983.01

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Solution

The fourth proportional to 13,462.11, 18,578.59 and 8,983.01 is: 12,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.11 : 18,578.59 = 8,983.01 : x
  2. Step 2: Convert to fraction form
    13,462.11/18,578.59 = 8,983.01/x
  3. Step 3: Cross multiply
    13,462.11x = 18,578.59 × 8,983.01
  4. Step 4: Simplify right side
    13,462.11x = 166,891,659.76
  5. Step 5: Solve for x
    x = 166,891,659.76/13,462.11
  6. Step 6: Final answer
    x = 12,397.14

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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.