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Finding the Fourth Proportional to 6,967.61, 10,454.09 and 4,196.19

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Solution

The fourth proportional to 6,967.61, 10,454.09 and 4,196.19 is: 6,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.61 : 10,454.09 = 4,196.19 : x
  2. Step 2: Convert to fraction form
    6,967.61/10,454.09 = 4,196.19/x
  3. Step 3: Cross multiply
    6,967.61x = 10,454.09 × 4,196.19
  4. Step 4: Simplify right side
    6,967.61x = 43,867,326.94
  5. Step 5: Solve for x
    x = 43,867,326.94/6,967.61
  6. Step 6: Final answer
    x = 6,295.90

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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.