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Finding the Fourth Proportional to 12,135.93, 18,203.89 and 6,938.16

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Solution

The fourth proportional to 12,135.93, 18,203.89 and 6,938.16 is: 10,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.93 : 18,203.89 = 6,938.16 : x
  2. Step 2: Convert to fraction form
    12,135.93/18,203.89 = 6,938.16/x
  3. Step 3: Cross multiply
    12,135.93x = 18,203.89 × 6,938.16
  4. Step 4: Simplify right side
    12,135.93x = 126,301,428.84
  5. Step 5: Solve for x
    x = 126,301,428.84/12,135.93
  6. Step 6: Final answer
    x = 10,407.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.