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Finding the Fourth Proportional to 6,826.30, 9,419.03 and 3,841.50

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Solution

The fourth proportional to 6,826.30, 9,419.03 and 3,841.50 is: 5,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.30 : 9,419.03 = 3,841.50 : x
  2. Step 2: Convert to fraction form
    6,826.30/9,419.03 = 3,841.50/x
  3. Step 3: Cross multiply
    6,826.30x = 9,419.03 × 3,841.50
  4. Step 4: Simplify right side
    6,826.30x = 36,183,156.65
  5. Step 5: Solve for x
    x = 36,183,156.65/6,826.30
  6. Step 6: Final answer
    x = 5,300.56

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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.