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Finding the Fourth Proportional to 9,161.40, 13,742.10 and 6,857.40

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Solution

The fourth proportional to 9,161.40, 13,742.10 and 6,857.40 is: 10,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.40 : 13,742.10 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    9,161.40/13,742.10 = 6,857.40/x
  3. Step 3: Cross multiply
    9,161.40x = 13,742.10 × 6,857.40
  4. Step 4: Simplify right side
    9,161.40x = 94,235,076.54
  5. Step 5: Solve for x
    x = 94,235,076.54/9,161.40
  6. Step 6: Final answer
    x = 10,286.10

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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.