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Finding the Fourth Proportional to 6,842.54, 9,442.80 and 3,858.44

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Solution

The fourth proportional to 6,842.54, 9,442.80 and 3,858.44 is: 5,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.54 : 9,442.80 = 3,858.44 : x
  2. Step 2: Convert to fraction form
    6,842.54/9,442.80 = 3,858.44/x
  3. Step 3: Cross multiply
    6,842.54x = 9,442.80 × 3,858.44
  4. Step 4: Simplify right side
    6,842.54x = 36,434,477.23
  5. Step 5: Solve for x
    x = 36,434,477.23/6,842.54
  6. Step 6: Final answer
    x = 5,324.70

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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.