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Finding the Fourth Proportional to 9,529.50, 14,295.24 and 2,604

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Solution

The fourth proportional to 9,529.50, 14,295.24 and 2,604 is: 3,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.50 : 14,295.24 = 2,604 : x
  2. Step 2: Convert to fraction form
    9,529.50/14,295.24 = 2,604/x
  3. Step 3: Cross multiply
    9,529.50x = 14,295.24 × 2,604
  4. Step 4: Simplify right side
    9,529.50x = 37,224,804.96
  5. Step 5: Solve for x
    x = 37,224,804.96/9,529.50
  6. Step 6: Final answer
    x = 3,906.27

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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.