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Finding the Fourth Proportional to 6,101.70, 9,167.13 and 3,914.70

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Solution

The fourth proportional to 6,101.70, 9,167.13 and 3,914.70 is: 5,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,167.13 = 3,914.70 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,167.13 = 3,914.70/x
  3. Step 3: Cross multiply
    6,101.70x = 9,167.13 × 3,914.70
  4. Step 4: Simplify right side
    6,101.70x = 35,886,563.81
  5. Step 5: Solve for x
    x = 35,886,563.81/6,101.70
  6. Step 6: Final answer
    x = 5,881.40

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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.