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Finding the Fourth Proportional to 6,709.66, 10,077.90 and 4,046.57

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Solution

The fourth proportional to 6,709.66, 10,077.90 and 4,046.57 is: 6,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.66 : 10,077.90 = 4,046.57 : x
  2. Step 2: Convert to fraction form
    6,709.66/10,077.90 = 4,046.57/x
  3. Step 3: Cross multiply
    6,709.66x = 10,077.90 × 4,046.57
  4. Step 4: Simplify right side
    6,709.66x = 40,780,927.80
  5. Step 5: Solve for x
    x = 40,780,927.80/6,709.66
  6. Step 6: Final answer
    x = 6,077.95

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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.