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Finding the Fourth Proportional to 6,853.48, 10,250.94 and 4,214.48

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Solution

The fourth proportional to 6,853.48, 10,250.94 and 4,214.48 is: 6,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.48 : 10,250.94 = 4,214.48 : x
  2. Step 2: Convert to fraction form
    6,853.48/10,250.94 = 4,214.48/x
  3. Step 3: Cross multiply
    6,853.48x = 10,250.94 × 4,214.48
  4. Step 4: Simplify right side
    6,853.48x = 43,202,381.61
  5. Step 5: Solve for x
    x = 43,202,381.61/6,853.48
  6. Step 6: Final answer
    x = 6,303.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.