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Finding the Fourth Proportional to 10,001, 14,993.40 and 4,161.98

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Solution

The fourth proportional to 10,001, 14,993.40 and 4,161.98 is: 6,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 14,993.40 = 4,161.98 : x
  2. Step 2: Convert to fraction form
    10,001/14,993.40 = 4,161.98/x
  3. Step 3: Cross multiply
    10,001x = 14,993.40 × 4,161.98
  4. Step 4: Simplify right side
    10,001x = 62,402,230.93
  5. Step 5: Solve for x
    x = 62,402,230.93/10,001
  6. Step 6: Final answer
    x = 6,239.60

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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.