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Finding the Fourth Proportional to 4,828.96, 7,234.90 and 4,128.52

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Solution

The fourth proportional to 4,828.96, 7,234.90 and 4,128.52 is: 6,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.96 : 7,234.90 = 4,128.52 : x
  2. Step 2: Convert to fraction form
    4,828.96/7,234.90 = 4,128.52/x
  3. Step 3: Cross multiply
    4,828.96x = 7,234.90 × 4,128.52
  4. Step 4: Simplify right side
    4,828.96x = 29,869,429.35
  5. Step 5: Solve for x
    x = 29,869,429.35/4,828.96
  6. Step 6: Final answer
    x = 6,185.48

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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.