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Finding the Fourth Proportional to 6,533.74, 9,783.78 and 3,608.74

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Solution

The fourth proportional to 6,533.74, 9,783.78 and 3,608.74 is: 5,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.74 : 9,783.78 = 3,608.74 : x
  2. Step 2: Convert to fraction form
    6,533.74/9,783.78 = 3,608.74/x
  3. Step 3: Cross multiply
    6,533.74x = 9,783.78 × 3,608.74
  4. Step 4: Simplify right side
    6,533.74x = 35,307,118.24
  5. Step 5: Solve for x
    x = 35,307,118.24/6,533.74
  6. Step 6: Final answer
    x = 5,403.81

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1.5x scale

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.