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Finding the Fourth Proportional to 6,164.51, 8,507.03 and 3,511.91

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Solution

The fourth proportional to 6,164.51, 8,507.03 and 3,511.91 is: 4,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.51 : 8,507.03 = 3,511.91 : x
  2. Step 2: Convert to fraction form
    6,164.51/8,507.03 = 3,511.91/x
  3. Step 3: Cross multiply
    6,164.51x = 8,507.03 × 3,511.91
  4. Step 4: Simplify right side
    6,164.51x = 29,875,879.58
  5. Step 5: Solve for x
    x = 29,875,879.58/6,164.51
  6. Step 6: Final answer
    x = 4,846.44

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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.