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Finding the Fourth Proportional to 10,634.34, 14,675.17 and 6,657.64

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Solution

The fourth proportional to 10,634.34, 14,675.17 and 6,657.64 is: 9,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.34 : 14,675.17 = 6,657.64 : x
  2. Step 2: Convert to fraction form
    10,634.34/14,675.17 = 6,657.64/x
  3. Step 3: Cross multiply
    10,634.34x = 14,675.17 × 6,657.64
  4. Step 4: Simplify right side
    10,634.34x = 97,701,998.80
  5. Step 5: Solve for x
    x = 97,701,998.80/10,634.34
  6. Step 6: Final answer
    x = 9,187.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.