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Finding the Fourth Proportional to 5,161.36, 7,739.64 and 1,874.32

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Solution

The fourth proportional to 5,161.36, 7,739.64 and 1,874.32 is: 2,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.36 : 7,739.64 = 1,874.32 : x
  2. Step 2: Convert to fraction form
    5,161.36/7,739.64 = 1,874.32/x
  3. Step 3: Cross multiply
    5,161.36x = 7,739.64 × 1,874.32
  4. Step 4: Simplify right side
    5,161.36x = 14,506,562.04
  5. Step 5: Solve for x
    x = 14,506,562.04/5,161.36
  6. Step 6: Final answer
    x = 2,810.61

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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.