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Finding the Fourth Proportional to 6,770.67, 10,144.38 and 6,085.89

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Solution

The fourth proportional to 6,770.67, 10,144.38 and 6,085.89 is: 9,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.67 : 10,144.38 = 6,085.89 : x
  2. Step 2: Convert to fraction form
    6,770.67/10,144.38 = 6,085.89/x
  3. Step 3: Cross multiply
    6,770.67x = 10,144.38 × 6,085.89
  4. Step 4: Simplify right side
    6,770.67x = 61,737,580.80
  5. Step 5: Solve for x
    x = 61,737,580.80/6,770.67
  6. Step 6: Final answer
    x = 9,118.39

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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.