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Finding the Fourth Proportional to 6,853.76, 9,457.92 and 3,869.12

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Solution

The fourth proportional to 6,853.76, 9,457.92 and 3,869.12 is: 5,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.76 : 9,457.92 = 3,869.12 : x
  2. Step 2: Convert to fraction form
    6,853.76/9,457.92 = 3,869.12/x
  3. Step 3: Cross multiply
    6,853.76x = 9,457.92 × 3,869.12
  4. Step 4: Simplify right side
    6,853.76x = 36,593,827.43
  5. Step 5: Solve for x
    x = 36,593,827.43/6,853.76
  6. Step 6: Final answer
    x = 5,339.23

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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.