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Finding the Fourth Proportional to 10,638.74, 14,675.68 and 6,659.01

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Solution

The fourth proportional to 10,638.74, 14,675.68 and 6,659.01 is: 9,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.74 : 14,675.68 = 6,659.01 : x
  2. Step 2: Convert to fraction form
    10,638.74/14,675.68 = 6,659.01/x
  3. Step 3: Cross multiply
    10,638.74x = 14,675.68 × 6,659.01
  4. Step 4: Simplify right side
    10,638.74x = 97,725,508.20
  5. Step 5: Solve for x
    x = 97,725,508.20/10,638.74
  6. Step 6: Final answer
    x = 9,185.81

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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.