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Finding the Fourth Proportional to 6,465.36, 8,919.54 and 4,106.64

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Solution

The fourth proportional to 6,465.36, 8,919.54 and 4,106.64 is: 5,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.36 : 8,919.54 = 4,106.64 : x
  2. Step 2: Convert to fraction form
    6,465.36/8,919.54 = 4,106.64/x
  3. Step 3: Cross multiply
    6,465.36x = 8,919.54 × 4,106.64
  4. Step 4: Simplify right side
    6,465.36x = 36,629,339.75
  5. Step 5: Solve for x
    x = 36,629,339.75/6,465.36
  6. Step 6: Final answer
    x = 5,665.48

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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.