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Finding the Fourth Proportional to 6,853.14, 9,457.74 and 3,867.88

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Solution

The fourth proportional to 6,853.14, 9,457.74 and 3,867.88 is: 5,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.14 : 9,457.74 = 3,867.88 : x
  2. Step 2: Convert to fraction form
    6,853.14/9,457.74 = 3,867.88/x
  3. Step 3: Cross multiply
    6,853.14x = 9,457.74 × 3,867.88
  4. Step 4: Simplify right side
    6,853.14x = 36,581,403.39
  5. Step 5: Solve for x
    x = 36,581,403.39/6,853.14
  6. Step 6: Final answer
    x = 5,337.90

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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.