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Finding the Fourth Proportional to 4,164.52, 6,249.86 and 1,973.26

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Solution

The fourth proportional to 4,164.52, 6,249.86 and 1,973.26 is: 2,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.52 : 6,249.86 = 1,973.26 : x
  2. Step 2: Convert to fraction form
    4,164.52/6,249.86 = 1,973.26/x
  3. Step 3: Cross multiply
    4,164.52x = 6,249.86 × 1,973.26
  4. Step 4: Simplify right side
    4,164.52x = 12,332,598.74
  5. Step 5: Solve for x
    x = 12,332,598.74/4,164.52
  6. Step 6: Final answer
    x = 2,961.35

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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.