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Finding the Fourth Proportional to 6,563.25, 9,846.50 and 1,946.25

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Solution

The fourth proportional to 6,563.25, 9,846.50 and 1,946.25 is: 2,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.25 : 9,846.50 = 1,946.25 : x
  2. Step 2: Convert to fraction form
    6,563.25/9,846.50 = 1,946.25/x
  3. Step 3: Cross multiply
    6,563.25x = 9,846.50 × 1,946.25
  4. Step 4: Simplify right side
    6,563.25x = 19,163,740.89
  5. Step 5: Solve for x
    x = 19,163,740.89/6,563.25
  6. Step 6: Final answer
    x = 2,919.86

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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.