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Finding the Fourth Proportional to 6,853.62, 9,457.95 and 3,869.43

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Solution

The fourth proportional to 6,853.62, 9,457.95 and 3,869.43 is: 5,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.62 : 9,457.95 = 3,869.43 : x
  2. Step 2: Convert to fraction form
    6,853.62/9,457.95 = 3,869.43/x
  3. Step 3: Cross multiply
    6,853.62x = 9,457.95 × 3,869.43
  4. Step 4: Simplify right side
    6,853.62x = 36,596,875.47
  5. Step 5: Solve for x
    x = 36,596,875.47/6,853.62
  6. Step 6: Final answer
    x = 5,339.79

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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.