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Finding the Fourth Proportional to 4,825.74, 6,653.34 and 3,829.30

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Solution

The fourth proportional to 4,825.74, 6,653.34 and 3,829.30 is: 5,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.74 : 6,653.34 = 3,829.30 : x
  2. Step 2: Convert to fraction form
    4,825.74/6,653.34 = 3,829.30/x
  3. Step 3: Cross multiply
    4,825.74x = 6,653.34 × 3,829.30
  4. Step 4: Simplify right side
    4,825.74x = 25,477,634.86
  5. Step 5: Solve for x
    x = 25,477,634.86/4,825.74
  6. Step 6: Final answer
    x = 5,279.53

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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.