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Finding the Fourth Proportional to 7,684.02, 11,530.50 and 3,241.41

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Solution

The fourth proportional to 7,684.02, 11,530.50 and 3,241.41 is: 4,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.02 : 11,530.50 = 3,241.41 : x
  2. Step 2: Convert to fraction form
    7,684.02/11,530.50 = 3,241.41/x
  3. Step 3: Cross multiply
    7,684.02x = 11,530.50 × 3,241.41
  4. Step 4: Simplify right side
    7,684.02x = 37,375,078.01
  5. Step 5: Solve for x
    x = 37,375,078.01/7,684.02
  6. Step 6: Final answer
    x = 4,864.00

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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.