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Finding the Fourth Proportional to 6,170.30, 9,230.86 and 5,358.14

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Solution

The fourth proportional to 6,170.30, 9,230.86 and 5,358.14 is: 8,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.30 : 9,230.86 = 5,358.14 : x
  2. Step 2: Convert to fraction form
    6,170.30/9,230.86 = 5,358.14/x
  3. Step 3: Cross multiply
    6,170.30x = 9,230.86 × 5,358.14
  4. Step 4: Simplify right side
    6,170.30x = 49,460,240.20
  5. Step 5: Solve for x
    x = 49,460,240.20/6,170.30
  6. Step 6: Final answer
    x = 8,015.86

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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.