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Finding the Fourth Proportional to 4,945.55, 6,824.60 and 2,707

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Solution

The fourth proportional to 4,945.55, 6,824.60 and 2,707 is: 3,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.55 : 6,824.60 = 2,707 : x
  2. Step 2: Convert to fraction form
    4,945.55/6,824.60 = 2,707/x
  3. Step 3: Cross multiply
    4,945.55x = 6,824.60 × 2,707
  4. Step 4: Simplify right side
    4,945.55x = 18,474,192.20
  5. Step 5: Solve for x
    x = 18,474,192.20/4,945.55
  6. Step 6: Final answer
    x = 3,735.52

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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.