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Finding the Fourth Proportional to 6,842.64, 9,442.62 and 3,858.60

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Solution

The fourth proportional to 6,842.64, 9,442.62 and 3,858.60 is: 5,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.64 : 9,442.62 = 3,858.60 : x
  2. Step 2: Convert to fraction form
    6,842.64/9,442.62 = 3,858.60/x
  3. Step 3: Cross multiply
    6,842.64x = 9,442.62 × 3,858.60
  4. Step 4: Simplify right side
    6,842.64x = 36,435,293.53
  5. Step 5: Solve for x
    x = 36,435,293.53/6,842.64
  6. Step 6: Final answer
    x = 5,324.74

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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.