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Finding the Fourth Proportional to 4,621.50, 6,902.73 and 4,182.06

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Solution

The fourth proportional to 4,621.50, 6,902.73 and 4,182.06 is: 6,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.50 : 6,902.73 = 4,182.06 : x
  2. Step 2: Convert to fraction form
    4,621.50/6,902.73 = 4,182.06/x
  3. Step 3: Cross multiply
    4,621.50x = 6,902.73 × 4,182.06
  4. Step 4: Simplify right side
    4,621.50x = 28,867,631.02
  5. Step 5: Solve for x
    x = 28,867,631.02/4,621.50
  6. Step 6: Final answer
    x = 6,246.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.