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Finding the Fourth Proportional to 13,184.76, 18,194.96 and 8,993

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Solution

The fourth proportional to 13,184.76, 18,194.96 and 8,993 is: 12,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.76 : 18,194.96 = 8,993 : x
  2. Step 2: Convert to fraction form
    13,184.76/18,194.96 = 8,993/x
  3. Step 3: Cross multiply
    13,184.76x = 18,194.96 × 8,993
  4. Step 4: Simplify right side
    13,184.76x = 163,627,275.28
  5. Step 5: Solve for x
    x = 163,627,275.28/13,184.76
  6. Step 6: Final answer
    x = 12,410.33

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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.