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Finding the Fourth Proportional to 12,698.75, 19,048.26 and 3,464.75

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Solution

The fourth proportional to 12,698.75, 19,048.26 and 3,464.75 is: 5,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.75 : 19,048.26 = 3,464.75 : x
  2. Step 2: Convert to fraction form
    12,698.75/19,048.26 = 3,464.75/x
  3. Step 3: Cross multiply
    12,698.75x = 19,048.26 × 3,464.75
  4. Step 4: Simplify right side
    12,698.75x = 65,997,458.84
  5. Step 5: Solve for x
    x = 65,997,458.84/12,698.75
  6. Step 6: Final answer
    x = 5,197.16

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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.