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Finding the Fourth Proportional to 13,135, 18,127.04 and 7,546.36

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Solution

The fourth proportional to 13,135, 18,127.04 and 7,546.36 is: 10,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 18,127.04 = 7,546.36 : x
  2. Step 2: Convert to fraction form
    13,135/18,127.04 = 7,546.36/x
  3. Step 3: Cross multiply
    13,135x = 18,127.04 × 7,546.36
  4. Step 4: Simplify right side
    13,135x = 136,793,169.57
  5. Step 5: Solve for x
    x = 136,793,169.57/13,135
  6. Step 6: Final answer
    x = 10,414.40

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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.