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Finding the Fourth Proportional to 4,901.94, 7,358.16 and 1,982.16

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Solution

The fourth proportional to 4,901.94, 7,358.16 and 1,982.16 is: 2,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.94 : 7,358.16 = 1,982.16 : x
  2. Step 2: Convert to fraction form
    4,901.94/7,358.16 = 1,982.16/x
  3. Step 3: Cross multiply
    4,901.94x = 7,358.16 × 1,982.16
  4. Step 4: Simplify right side
    4,901.94x = 14,585,050.43
  5. Step 5: Solve for x
    x = 14,585,050.43/4,901.94
  6. Step 6: Final answer
    x = 2,975.36

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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.