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Finding the Fourth Proportional to 4,835.70, 6,684.12 and 4,474.44

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Solution

The fourth proportional to 4,835.70, 6,684.12 and 4,474.44 is: 6,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.70 : 6,684.12 = 4,474.44 : x
  2. Step 2: Convert to fraction form
    4,835.70/6,684.12 = 4,474.44/x
  3. Step 3: Cross multiply
    4,835.70x = 6,684.12 × 4,474.44
  4. Step 4: Simplify right side
    4,835.70x = 29,907,693.89
  5. Step 5: Solve for x
    x = 29,907,693.89/4,835.70
  6. Step 6: Final answer
    x = 6,184.77

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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.