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Finding the Fourth Proportional to 6,842.73, 9,442.76 and 3,817.94

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Solution

The fourth proportional to 6,842.73, 9,442.76 and 3,817.94 is: 5,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.73 : 9,442.76 = 3,817.94 : x
  2. Step 2: Convert to fraction form
    6,842.73/9,442.76 = 3,817.94/x
  3. Step 3: Cross multiply
    6,842.73x = 9,442.76 × 3,817.94
  4. Step 4: Simplify right side
    6,842.73x = 36,051,862.39
  5. Step 5: Solve for x
    x = 36,051,862.39/6,842.73
  6. Step 6: Final answer
    x = 5,268.64

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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.