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Finding the Fourth Proportional to 6,853.98, 10,292.86 and 6,542.34

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Solution

The fourth proportional to 6,853.98, 10,292.86 and 6,542.34 is: 9,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.98 : 10,292.86 = 6,542.34 : x
  2. Step 2: Convert to fraction form
    6,853.98/10,292.86 = 6,542.34/x
  3. Step 3: Cross multiply
    6,853.98x = 10,292.86 × 6,542.34
  4. Step 4: Simplify right side
    6,853.98x = 67,339,389.69
  5. Step 5: Solve for x
    x = 67,339,389.69/6,853.98
  6. Step 6: Final answer
    x = 9,824.86

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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.