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Finding the Fourth Proportional to 4,646.50, 6,412.25 and 2,550.63

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Solution

The fourth proportional to 4,646.50, 6,412.25 and 2,550.63 is: 3,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.50 : 6,412.25 = 2,550.63 : x
  2. Step 2: Convert to fraction form
    4,646.50/6,412.25 = 2,550.63/x
  3. Step 3: Cross multiply
    4,646.50x = 6,412.25 × 2,550.63
  4. Step 4: Simplify right side
    4,646.50x = 16,355,277.22
  5. Step 5: Solve for x
    x = 16,355,277.22/4,646.50
  6. Step 6: Final answer
    x = 3,519.91

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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.