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Finding the Fourth Proportional to 9,865.70, 14,791.26 and 4,665.50

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Solution

The fourth proportional to 9,865.70, 14,791.26 and 4,665.50 is: 6,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.70 : 14,791.26 = 4,665.50 : x
  2. Step 2: Convert to fraction form
    9,865.70/14,791.26 = 4,665.50/x
  3. Step 3: Cross multiply
    9,865.70x = 14,791.26 × 4,665.50
  4. Step 4: Simplify right side
    9,865.70x = 69,008,623.53
  5. Step 5: Solve for x
    x = 69,008,623.53/9,865.70
  6. Step 6: Final answer
    x = 6,994.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.