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Finding the Fourth Proportional to 10,684.42, 14,745.98 and 5,969

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Solution

The fourth proportional to 10,684.42, 14,745.98 and 5,969 is: 8,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.42 : 14,745.98 = 5,969 : x
  2. Step 2: Convert to fraction form
    10,684.42/14,745.98 = 5,969/x
  3. Step 3: Cross multiply
    10,684.42x = 14,745.98 × 5,969
  4. Step 4: Simplify right side
    10,684.42x = 88,018,754.62
  5. Step 5: Solve for x
    x = 88,018,754.62/10,684.42
  6. Step 6: Final answer
    x = 8,238.05

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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.