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Finding the Fourth Proportional to 6,876.53, 9,491.86 and 4,043.76

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Solution

The fourth proportional to 6,876.53, 9,491.86 and 4,043.76 is: 5,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.53 : 9,491.86 = 4,043.76 : x
  2. Step 2: Convert to fraction form
    6,876.53/9,491.86 = 4,043.76/x
  3. Step 3: Cross multiply
    6,876.53x = 9,491.86 × 4,043.76
  4. Step 4: Simplify right side
    6,876.53x = 38,382,803.79
  5. Step 5: Solve for x
    x = 38,382,803.79/6,876.53
  6. Step 6: Final answer
    x = 5,581.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.