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Finding the Fourth Proportional to 6,863.85, 9,492.05 and 6,739.24

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Solution

The fourth proportional to 6,863.85, 9,492.05 and 6,739.24 is: 9,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.85 : 9,492.05 = 6,739.24 : x
  2. Step 2: Convert to fraction form
    6,863.85/9,492.05 = 6,739.24/x
  3. Step 3: Cross multiply
    6,863.85x = 9,492.05 × 6,739.24
  4. Step 4: Simplify right side
    6,863.85x = 63,969,203.04
  5. Step 5: Solve for x
    x = 63,969,203.04/6,863.85
  6. Step 6: Final answer
    x = 9,319.73

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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.