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Finding the Fourth Proportional to 6,367.64, 9,556.86 and 3,448.40

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Solution

The fourth proportional to 6,367.64, 9,556.86 and 3,448.40 is: 5,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.64 : 9,556.86 = 3,448.40 : x
  2. Step 2: Convert to fraction form
    6,367.64/9,556.86 = 3,448.40/x
  3. Step 3: Cross multiply
    6,367.64x = 9,556.86 × 3,448.40
  4. Step 4: Simplify right side
    6,367.64x = 32,955,876.02
  5. Step 5: Solve for x
    x = 32,955,876.02/6,367.64
  6. Step 6: Final answer
    x = 5,175.52

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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.