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Finding the Fourth Proportional to 13,985.50, 20,971.40 and 6,583.72

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Solution

The fourth proportional to 13,985.50, 20,971.40 and 6,583.72 is: 9,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.50 : 20,971.40 = 6,583.72 : x
  2. Step 2: Convert to fraction form
    13,985.50/20,971.40 = 6,583.72/x
  3. Step 3: Cross multiply
    13,985.50x = 20,971.40 × 6,583.72
  4. Step 4: Simplify right side
    13,985.50x = 138,069,825.61
  5. Step 5: Solve for x
    x = 138,069,825.61/13,985.50
  6. Step 6: Final answer
    x = 9,872.36

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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.