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Finding the Fourth Proportional to 10,606.24, 14,636.70 and 6,629.70

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Solution

The fourth proportional to 10,606.24, 14,636.70 and 6,629.70 is: 9,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.24 : 14,636.70 = 6,629.70 : x
  2. Step 2: Convert to fraction form
    10,606.24/14,636.70 = 6,629.70/x
  3. Step 3: Cross multiply
    10,606.24x = 14,636.70 × 6,629.70
  4. Step 4: Simplify right side
    10,606.24x = 97,036,902.55
  5. Step 5: Solve for x
    x = 97,036,902.55/10,606.24
  6. Step 6: Final answer
    x = 9,149.04

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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.