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Finding the Fourth Proportional to 6,464.14, 8,919.83 and 4,339.24

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Solution

The fourth proportional to 6,464.14, 8,919.83 and 4,339.24 is: 5,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.14 : 8,919.83 = 4,339.24 : x
  2. Step 2: Convert to fraction form
    6,464.14/8,919.83 = 4,339.24/x
  3. Step 3: Cross multiply
    6,464.14x = 8,919.83 × 4,339.24
  4. Step 4: Simplify right side
    6,464.14x = 38,705,271.68
  5. Step 5: Solve for x
    x = 38,705,271.68/6,464.14
  6. Step 6: Final answer
    x = 5,987.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.