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Finding the Fourth Proportional to 4,739.92, 7,106.83 and 1,968.50

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Solution

The fourth proportional to 4,739.92, 7,106.83 and 1,968.50 is: 2,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.92 : 7,106.83 = 1,968.50 : x
  2. Step 2: Convert to fraction form
    4,739.92/7,106.83 = 1,968.50/x
  3. Step 3: Cross multiply
    4,739.92x = 7,106.83 × 1,968.50
  4. Step 4: Simplify right side
    4,739.92x = 13,989,807.70
  5. Step 5: Solve for x
    x = 13,989,807.70/4,739.92
  6. Step 6: Final answer
    x = 2,951.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.