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Finding the Fourth Proportional to 11,442.96, 15,796.11 and 6,968.34

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Solution

The fourth proportional to 11,442.96, 15,796.11 and 6,968.34 is: 9,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.96 : 15,796.11 = 6,968.34 : x
  2. Step 2: Convert to fraction form
    11,442.96/15,796.11 = 6,968.34/x
  3. Step 3: Cross multiply
    11,442.96x = 15,796.11 × 6,968.34
  4. Step 4: Simplify right side
    11,442.96x = 110,072,665.16
  5. Step 5: Solve for x
    x = 110,072,665.16/11,442.96
  6. Step 6: Final answer
    x = 9,619.25

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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.