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Finding the Fourth Proportional to 10,485.34, 14,466.65 and 6,234.23

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Solution

The fourth proportional to 10,485.34, 14,466.65 and 6,234.23 is: 8,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.34 : 14,466.65 = 6,234.23 : x
  2. Step 2: Convert to fraction form
    10,485.34/14,466.65 = 6,234.23/x
  3. Step 3: Cross multiply
    10,485.34x = 14,466.65 × 6,234.23
  4. Step 4: Simplify right side
    10,485.34x = 90,188,428.42
  5. Step 5: Solve for x
    x = 90,188,428.42/10,485.34
  6. Step 6: Final answer
    x = 8,601.39

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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.