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Finding the Fourth Proportional to 9,983, 14,958.66 and 6,683.96

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Solution

The fourth proportional to 9,983, 14,958.66 and 6,683.96 is: 10,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983 : 14,958.66 = 6,683.96 : x
  2. Step 2: Convert to fraction form
    9,983/14,958.66 = 6,683.96/x
  3. Step 3: Cross multiply
    9,983x = 14,958.66 × 6,683.96
  4. Step 4: Simplify right side
    9,983x = 99,983,085.09
  5. Step 5: Solve for x
    x = 99,983,085.09/9,983
  6. Step 6: Final answer
    x = 10,015.33

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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.