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Finding the Fourth Proportional to 6,296.48, 9,446.24 and 3,008.64

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Solution

The fourth proportional to 6,296.48, 9,446.24 and 3,008.64 is: 4,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.48 : 9,446.24 = 3,008.64 : x
  2. Step 2: Convert to fraction form
    6,296.48/9,446.24 = 3,008.64/x
  3. Step 3: Cross multiply
    6,296.48x = 9,446.24 × 3,008.64
  4. Step 4: Simplify right side
    6,296.48x = 28,420,335.51
  5. Step 5: Solve for x
    x = 28,420,335.51/6,296.48
  6. Step 6: Final answer
    x = 4,513.69

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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.