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Finding the Fourth Proportional to 6,164.51, 9,246.83 and 1,782

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Solution

The fourth proportional to 6,164.51, 9,246.83 and 1,782 is: 2,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.51 : 9,246.83 = 1,782 : x
  2. Step 2: Convert to fraction form
    6,164.51/9,246.83 = 1,782/x
  3. Step 3: Cross multiply
    6,164.51x = 9,246.83 × 1,782
  4. Step 4: Simplify right side
    6,164.51x = 16,477,842.15
  5. Step 5: Solve for x
    x = 16,477,842.15/6,164.51
  6. Step 6: Final answer
    x = 2,673.02

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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.