Home / 7,826.50-11,739.74-1,983.57

Finding the Fourth Proportional to 7,826.50, 11,739.74 and 1,983.57

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Solution

The fourth proportional to 7,826.50, 11,739.74 and 1,983.57 is: 2,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.50 : 11,739.74 = 1,983.57 : x
  2. Step 2: Convert to fraction form
    7,826.50/11,739.74 = 1,983.57/x
  3. Step 3: Cross multiply
    7,826.50x = 11,739.74 × 1,983.57
  4. Step 4: Simplify right side
    7,826.50x = 23,286,596.07
  5. Step 5: Solve for x
    x = 23,286,596.07/7,826.50
  6. Step 6: Final answer
    x = 2,975.35

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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.