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Finding the Fourth Proportional to 10,379.30, 14,325.73 and 6,601.73

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Solution

The fourth proportional to 10,379.30, 14,325.73 and 6,601.73 is: 9,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.30 : 14,325.73 = 6,601.73 : x
  2. Step 2: Convert to fraction form
    10,379.30/14,325.73 = 6,601.73/x
  3. Step 3: Cross multiply
    10,379.30x = 14,325.73 × 6,601.73
  4. Step 4: Simplify right side
    10,379.30x = 94,574,513.38
  5. Step 5: Solve for x
    x = 94,574,513.38/10,379.30
  6. Step 6: Final answer
    x = 9,111.84

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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.