Home / 6,441.08-9,660.48-1,823

Finding the Fourth Proportional to 6,441.08, 9,660.48 and 1,823

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Solution

The fourth proportional to 6,441.08, 9,660.48 and 1,823 is: 2,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.08 : 9,660.48 = 1,823 : x
  2. Step 2: Convert to fraction form
    6,441.08/9,660.48 = 1,823/x
  3. Step 3: Cross multiply
    6,441.08x = 9,660.48 × 1,823
  4. Step 4: Simplify right side
    6,441.08x = 17,611,055.04
  5. Step 5: Solve for x
    x = 17,611,055.04/6,441.08
  6. Step 6: Final answer
    x = 2,734.18

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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.