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Finding the Fourth Proportional to 10,427.67, 14,384.39 and 6,445.98

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Solution

The fourth proportional to 10,427.67, 14,384.39 and 6,445.98 is: 8,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.67 : 14,384.39 = 6,445.98 : x
  2. Step 2: Convert to fraction form
    10,427.67/14,384.39 = 6,445.98/x
  3. Step 3: Cross multiply
    10,427.67x = 14,384.39 × 6,445.98
  4. Step 4: Simplify right side
    10,427.67x = 92,721,458.02
  5. Step 5: Solve for x
    x = 92,721,458.02/10,427.67
  6. Step 6: Final answer
    x = 8,891.87

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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.