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Finding the Fourth Proportional to 6,164.58, 8,507.91 and 3,512.94

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Solution

The fourth proportional to 6,164.58, 8,507.91 and 3,512.94 is: 4,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.58 : 8,507.91 = 3,512.94 : x
  2. Step 2: Convert to fraction form
    6,164.58/8,507.91 = 3,512.94/x
  3. Step 3: Cross multiply
    6,164.58x = 8,507.91 × 3,512.94
  4. Step 4: Simplify right side
    6,164.58x = 29,887,777.36
  5. Step 5: Solve for x
    x = 29,887,777.36/6,164.58
  6. Step 6: Final answer
    x = 4,848.31

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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.