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Finding the Fourth Proportional to 13,493.96, 18,625.01 and 9,194.16

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Solution

The fourth proportional to 13,493.96, 18,625.01 and 9,194.16 is: 12,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.96 : 18,625.01 = 9,194.16 : x
  2. Step 2: Convert to fraction form
    13,493.96/18,625.01 = 9,194.16/x
  3. Step 3: Cross multiply
    13,493.96x = 18,625.01 × 9,194.16
  4. Step 4: Simplify right side
    13,493.96x = 171,241,345.81
  5. Step 5: Solve for x
    x = 171,241,345.81/13,493.96
  6. Step 6: Final answer
    x = 12,690.22

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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.