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Finding the Fourth Proportional to 7,858.64, 11,788.32 and 2,594.10

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Solution

The fourth proportional to 7,858.64, 11,788.32 and 2,594.10 is: 3,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.64 : 11,788.32 = 2,594.10 : x
  2. Step 2: Convert to fraction form
    7,858.64/11,788.32 = 2,594.10/x
  3. Step 3: Cross multiply
    7,858.64x = 11,788.32 × 2,594.10
  4. Step 4: Simplify right side
    7,858.64x = 30,580,067.94
  5. Step 5: Solve for x
    x = 30,580,067.94/7,858.64
  6. Step 6: Final answer
    x = 3,891.27

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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.