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Finding the Fourth Proportional to 6,563.50, 9,846.87 and 1,946.50

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Solution

The fourth proportional to 6,563.50, 9,846.87 and 1,946.50 is: 2,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.50 : 9,846.87 = 1,946.50 : x
  2. Step 2: Convert to fraction form
    6,563.50/9,846.87 = 1,946.50/x
  3. Step 3: Cross multiply
    6,563.50x = 9,846.87 × 1,946.50
  4. Step 4: Simplify right side
    6,563.50x = 19,166,932.46
  5. Step 5: Solve for x
    x = 19,166,932.46/6,563.50
  6. Step 6: Final answer
    x = 2,920.23

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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.