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Finding the Fourth Proportional to 4,836.84, 7,255.26 and 3,203.76

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Solution

The fourth proportional to 4,836.84, 7,255.26 and 3,203.76 is: 4,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.84 : 7,255.26 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    4,836.84/7,255.26 = 3,203.76/x
  3. Step 3: Cross multiply
    4,836.84x = 7,255.26 × 3,203.76
  4. Step 4: Simplify right side
    4,836.84x = 23,244,111.78
  5. Step 5: Solve for x
    x = 23,244,111.78/4,836.84
  6. Step 6: Final answer
    x = 4,805.64

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1.5x scale

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.