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Finding the Fourth Proportional to 10,606.67, 14,639.28 and 7,021.70

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Solution

The fourth proportional to 10,606.67, 14,639.28 and 7,021.70 is: 9,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.67 : 14,639.28 = 7,021.70 : x
  2. Step 2: Convert to fraction form
    10,606.67/14,639.28 = 7,021.70/x
  3. Step 3: Cross multiply
    10,606.67x = 14,639.28 × 7,021.70
  4. Step 4: Simplify right side
    10,606.67x = 102,792,632.38
  5. Step 5: Solve for x
    x = 102,792,632.38/10,606.67
  6. Step 6: Final answer
    x = 9,691.32

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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.