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Finding the Fourth Proportional to 10,683.93, 14,744.13 and 5,968.11

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Solution

The fourth proportional to 10,683.93, 14,744.13 and 5,968.11 is: 8,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.93 : 14,744.13 = 5,968.11 : x
  2. Step 2: Convert to fraction form
    10,683.93/14,744.13 = 5,968.11/x
  3. Step 3: Cross multiply
    10,683.93x = 14,744.13 × 5,968.11
  4. Step 4: Simplify right side
    10,683.93x = 87,994,589.69
  5. Step 5: Solve for x
    x = 87,994,589.69/10,683.93
  6. Step 6: Final answer
    x = 8,236.16

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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.