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Finding the Fourth Proportional to 6,830.94, 9,426.44 and 3,805.99

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Solution

The fourth proportional to 6,830.94, 9,426.44 and 3,805.99 is: 5,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.94 : 9,426.44 = 3,805.99 : x
  2. Step 2: Convert to fraction form
    6,830.94/9,426.44 = 3,805.99/x
  3. Step 3: Cross multiply
    6,830.94x = 9,426.44 × 3,805.99
  4. Step 4: Simplify right side
    6,830.94x = 35,876,870.21
  5. Step 5: Solve for x
    x = 35,876,870.21/6,830.94
  6. Step 6: Final answer
    x = 5,252.12

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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.