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Finding the Fourth Proportional to 6,880.94, 9,496.50 and 4,086.44

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Solution

The fourth proportional to 6,880.94, 9,496.50 and 4,086.44 is: 5,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.94 : 9,496.50 = 4,086.44 : x
  2. Step 2: Convert to fraction form
    6,880.94/9,496.50 = 4,086.44/x
  3. Step 3: Cross multiply
    6,880.94x = 9,496.50 × 4,086.44
  4. Step 4: Simplify right side
    6,880.94x = 38,806,877.46
  5. Step 5: Solve for x
    x = 38,806,877.46/6,880.94
  6. Step 6: Final answer
    x = 5,639.76

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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.