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Finding the Fourth Proportional to 10,622.75, 14,658.50 and 6,256.38

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Solution

The fourth proportional to 10,622.75, 14,658.50 and 6,256.38 is: 8,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.75 : 14,658.50 = 6,256.38 : x
  2. Step 2: Convert to fraction form
    10,622.75/14,658.50 = 6,256.38/x
  3. Step 3: Cross multiply
    10,622.75x = 14,658.50 × 6,256.38
  4. Step 4: Simplify right side
    10,622.75x = 91,709,114.95
  5. Step 5: Solve for x
    x = 91,709,114.95/10,622.75
  6. Step 6: Final answer
    x = 8,633.28

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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.