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Finding the Fourth Proportional to 10,796.74, 16,192.08 and 6,842.14

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Solution

The fourth proportional to 10,796.74, 16,192.08 and 6,842.14 is: 10,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.74 : 16,192.08 = 6,842.14 : x
  2. Step 2: Convert to fraction form
    10,796.74/16,192.08 = 6,842.14/x
  3. Step 3: Cross multiply
    10,796.74x = 16,192.08 × 6,842.14
  4. Step 4: Simplify right side
    10,796.74x = 110,788,478.25
  5. Step 5: Solve for x
    x = 110,788,478.25/10,796.74
  6. Step 6: Final answer
    x = 10,261.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.