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Finding the Fourth Proportional to 10,483.56, 14,466.57 and 6,234.39

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Solution

The fourth proportional to 10,483.56, 14,466.57 and 6,234.39 is: 8,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.56 : 14,466.57 = 6,234.39 : x
  2. Step 2: Convert to fraction form
    10,483.56/14,466.57 = 6,234.39/x
  3. Step 3: Cross multiply
    10,483.56x = 14,466.57 × 6,234.39
  4. Step 4: Simplify right side
    10,483.56x = 90,190,239.34
  5. Step 5: Solve for x
    x = 90,190,239.34/10,483.56
  6. Step 6: Final answer
    x = 8,603.02

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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.