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Finding the Fourth Proportional to 6,770.70, 10,156.05 and 4,175.10

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Solution

The fourth proportional to 6,770.70, 10,156.05 and 4,175.10 is: 6,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.70 : 10,156.05 = 4,175.10 : x
  2. Step 2: Convert to fraction form
    6,770.70/10,156.05 = 4,175.10/x
  3. Step 3: Cross multiply
    6,770.70x = 10,156.05 × 4,175.10
  4. Step 4: Simplify right side
    6,770.70x = 42,402,524.36
  5. Step 5: Solve for x
    x = 42,402,524.36/6,770.70
  6. Step 6: Final answer
    x = 6,262.65

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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.