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Finding the Fourth Proportional to 6,842.47, 9,442.47 and 3,858.25

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Solution

The fourth proportional to 6,842.47, 9,442.47 and 3,858.25 is: 5,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.47 : 9,442.47 = 3,858.25 : x
  2. Step 2: Convert to fraction form
    6,842.47/9,442.47 = 3,858.25/x
  3. Step 3: Cross multiply
    6,842.47x = 9,442.47 × 3,858.25
  4. Step 4: Simplify right side
    6,842.47x = 36,431,362.67
  5. Step 5: Solve for x
    x = 36,431,362.67/6,842.47
  6. Step 6: Final answer
    x = 5,324.30

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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.