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Finding the Fourth Proportional to 4,912.00, 6,734.36 and 4,823.15

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Solution

The fourth proportional to 4,912.00, 6,734.36 and 4,823.15 is: 6,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.00 : 6,734.36 = 4,823.15 : x
  2. Step 2: Convert to fraction form
    4,912.00/6,734.36 = 4,823.15/x
  3. Step 3: Cross multiply
    4,912.00x = 6,734.36 × 4,823.15
  4. Step 4: Simplify right side
    4,912.00x = 32,480,821.15
  5. Step 5: Solve for x
    x = 32,480,821.15/4,912.00
  6. Step 6: Final answer
    x = 6,612.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.