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Finding the Fourth Proportional to 6,829.94, 9,429.96 and 5,233.76

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Solution

The fourth proportional to 6,829.94, 9,429.96 and 5,233.76 is: 7,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.94 : 9,429.96 = 5,233.76 : x
  2. Step 2: Convert to fraction form
    6,829.94/9,429.96 = 5,233.76/x
  3. Step 3: Cross multiply
    6,829.94x = 9,429.96 × 5,233.76
  4. Step 4: Simplify right side
    6,829.94x = 49,354,147.45
  5. Step 5: Solve for x
    x = 49,354,147.45/6,829.94
  6. Step 6: Final answer
    x = 7,226.15

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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.