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Finding the Fourth Proportional to 10,662.50, 14,713.93 and 6,185.95

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Solution

The fourth proportional to 10,662.50, 14,713.93 and 6,185.95 is: 8,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.50 : 14,713.93 = 6,185.95 : x
  2. Step 2: Convert to fraction form
    10,662.50/14,713.93 = 6,185.95/x
  3. Step 3: Cross multiply
    10,662.50x = 14,713.93 × 6,185.95
  4. Step 4: Simplify right side
    10,662.50x = 91,019,635.28
  5. Step 5: Solve for x
    x = 91,019,635.28/10,662.50
  6. Step 6: Final answer
    x = 8,536.43

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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.