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Finding the Fourth Proportional to 9,683.81, 13,365.94 and 5,910.10

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Solution

The fourth proportional to 9,683.81, 13,365.94 and 5,910.10 is: 8,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.81 : 13,365.94 = 5,910.10 : x
  2. Step 2: Convert to fraction form
    9,683.81/13,365.94 = 5,910.10/x
  3. Step 3: Cross multiply
    9,683.81x = 13,365.94 × 5,910.10
  4. Step 4: Simplify right side
    9,683.81x = 78,994,029.95
  5. Step 5: Solve for x
    x = 78,994,029.95/9,683.81
  6. Step 6: Final answer
    x = 8,157.33

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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.