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Finding the Fourth Proportional to 6,296.96, 9,448.16 and 3,010.08

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Solution

The fourth proportional to 6,296.96, 9,448.16 and 3,010.08 is: 4,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.96 : 9,448.16 = 3,010.08 : x
  2. Step 2: Convert to fraction form
    6,296.96/9,448.16 = 3,010.08/x
  3. Step 3: Cross multiply
    6,296.96x = 9,448.16 × 3,010.08
  4. Step 4: Simplify right side
    6,296.96x = 28,439,717.45
  5. Step 5: Solve for x
    x = 28,439,717.45/6,296.96
  6. Step 6: Final answer
    x = 4,516.42

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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.