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Finding the Fourth Proportional to 6,826.74, 9,420.80 and 3,842.48

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Solution

The fourth proportional to 6,826.74, 9,420.80 and 3,842.48 is: 5,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.74 : 9,420.80 = 3,842.48 : x
  2. Step 2: Convert to fraction form
    6,826.74/9,420.80 = 3,842.48/x
  3. Step 3: Cross multiply
    6,826.74x = 9,420.80 × 3,842.48
  4. Step 4: Simplify right side
    6,826.74x = 36,199,235.58
  5. Step 5: Solve for x
    x = 36,199,235.58/6,826.74
  6. Step 6: Final answer
    x = 5,302.57

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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.