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Finding the Fourth Proportional to 4,914.54, 6,783.06 and 3,027.06

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Solution

The fourth proportional to 4,914.54, 6,783.06 and 3,027.06 is: 4,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.54 : 6,783.06 = 3,027.06 : x
  2. Step 2: Convert to fraction form
    4,914.54/6,783.06 = 3,027.06/x
  3. Step 3: Cross multiply
    4,914.54x = 6,783.06 × 3,027.06
  4. Step 4: Simplify right side
    4,914.54x = 20,532,729.60
  5. Step 5: Solve for x
    x = 20,532,729.60/4,914.54
  6. Step 6: Final answer
    x = 4,177.96

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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.