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Finding the Fourth Proportional to 6,842.19, 9,442.23 and 3,698.38

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Solution

The fourth proportional to 6,842.19, 9,442.23 and 3,698.38 is: 5,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.19 : 9,442.23 = 3,698.38 : x
  2. Step 2: Convert to fraction form
    6,842.19/9,442.23 = 3,698.38/x
  3. Step 3: Cross multiply
    6,842.19x = 9,442.23 × 3,698.38
  4. Step 4: Simplify right side
    6,842.19x = 34,920,907.38
  5. Step 5: Solve for x
    x = 34,920,907.38/6,842.19
  6. Step 6: Final answer
    x = 5,103.76

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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.