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Finding the Fourth Proportional to 6,533.40, 9,783.49 and 3,608.50

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Solution

The fourth proportional to 6,533.40, 9,783.49 and 3,608.50 is: 5,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.40 : 9,783.49 = 3,608.50 : x
  2. Step 2: Convert to fraction form
    6,533.40/9,783.49 = 3,608.50/x
  3. Step 3: Cross multiply
    6,533.40x = 9,783.49 × 3,608.50
  4. Step 4: Simplify right side
    6,533.40x = 35,303,723.67
  5. Step 5: Solve for x
    x = 35,303,723.67/6,533.40
  6. Step 6: Final answer
    x = 5,403.58

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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.