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Finding the Fourth Proportional to 6,164.76, 8,514.45 and 4,493.64

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Solution

The fourth proportional to 6,164.76, 8,514.45 and 4,493.64 is: 6,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.76 : 8,514.45 = 4,493.64 : x
  2. Step 2: Convert to fraction form
    6,164.76/8,514.45 = 4,493.64/x
  3. Step 3: Cross multiply
    6,164.76x = 8,514.45 × 4,493.64
  4. Step 4: Simplify right side
    6,164.76x = 38,260,873.10
  5. Step 5: Solve for x
    x = 38,260,873.10/6,164.76
  6. Step 6: Final answer
    x = 6,206.38

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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.