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Finding the Fourth Proportional to 6,894.35, 9,456.95 and 6,835.05

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Solution

The fourth proportional to 6,894.35, 9,456.95 and 6,835.05 is: 9,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.35 : 9,456.95 = 6,835.05 : x
  2. Step 2: Convert to fraction form
    6,894.35/9,456.95 = 6,835.05/x
  3. Step 3: Cross multiply
    6,894.35x = 9,456.95 × 6,835.05
  4. Step 4: Simplify right side
    6,894.35x = 64,638,743.19
  5. Step 5: Solve for x
    x = 64,638,743.19/6,894.35
  6. Step 6: Final answer
    x = 9,375.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.