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Finding the Fourth Proportional to 6,854.36, 9,459.46 and 3,869.10

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Solution

The fourth proportional to 6,854.36, 9,459.46 and 3,869.10 is: 5,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.36 : 9,459.46 = 3,869.10 : x
  2. Step 2: Convert to fraction form
    6,854.36/9,459.46 = 3,869.10/x
  3. Step 3: Cross multiply
    6,854.36x = 9,459.46 × 3,869.10
  4. Step 4: Simplify right side
    6,854.36x = 36,599,596.69
  5. Step 5: Solve for x
    x = 36,599,596.69/6,854.36
  6. Step 6: Final answer
    x = 5,339.61

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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.