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Finding the Fourth Proportional to 6,536.48, 9,804.96 and 1,919.48

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Solution

The fourth proportional to 6,536.48, 9,804.96 and 1,919.48 is: 2,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.48 : 9,804.96 = 1,919.48 : x
  2. Step 2: Convert to fraction form
    6,536.48/9,804.96 = 1,919.48/x
  3. Step 3: Cross multiply
    6,536.48x = 9,804.96 × 1,919.48
  4. Step 4: Simplify right side
    6,536.48x = 18,820,424.62
  5. Step 5: Solve for x
    x = 18,820,424.62/6,536.48
  6. Step 6: Final answer
    x = 2,879.29

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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.