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Finding the Fourth Proportional to 6,308.69, 9,463.03 and 3,405.44

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Solution

The fourth proportional to 6,308.69, 9,463.03 and 3,405.44 is: 5,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.69 : 9,463.03 = 3,405.44 : x
  2. Step 2: Convert to fraction form
    6,308.69/9,463.03 = 3,405.44/x
  3. Step 3: Cross multiply
    6,308.69x = 9,463.03 × 3,405.44
  4. Step 4: Simplify right side
    6,308.69x = 32,225,796.03
  5. Step 5: Solve for x
    x = 32,225,796.03/6,308.69
  6. Step 6: Final answer
    x = 5,108.16

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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.