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Finding the Fourth Proportional to 6,830.80, 10,246.16 and 3,907.04

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Solution

The fourth proportional to 6,830.80, 10,246.16 and 3,907.04 is: 5,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.80 : 10,246.16 = 3,907.04 : x
  2. Step 2: Convert to fraction form
    6,830.80/10,246.16 = 3,907.04/x
  3. Step 3: Cross multiply
    6,830.80x = 10,246.16 × 3,907.04
  4. Step 4: Simplify right side
    6,830.80x = 40,032,115.50
  5. Step 5: Solve for x
    x = 40,032,115.50/6,830.80
  6. Step 6: Final answer
    x = 5,860.53

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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.