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Finding the Fourth Proportional to 6,522.50, 9,783.76 and 3,606.50

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Solution

The fourth proportional to 6,522.50, 9,783.76 and 3,606.50 is: 5,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.50 : 9,783.76 = 3,606.50 : x
  2. Step 2: Convert to fraction form
    6,522.50/9,783.76 = 3,606.50/x
  3. Step 3: Cross multiply
    6,522.50x = 9,783.76 × 3,606.50
  4. Step 4: Simplify right side
    6,522.50x = 35,285,130.44
  5. Step 5: Solve for x
    x = 35,285,130.44/6,522.50
  6. Step 6: Final answer
    x = 5,409.76

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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.