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Finding the Fourth Proportional to 6,563.40, 9,846.70 and 1,946.40

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Solution

The fourth proportional to 6,563.40, 9,846.70 and 1,946.40 is: 2,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.40 : 9,846.70 = 1,946.40 : x
  2. Step 2: Convert to fraction form
    6,563.40/9,846.70 = 1,946.40/x
  3. Step 3: Cross multiply
    6,563.40x = 9,846.70 × 1,946.40
  4. Step 4: Simplify right side
    6,563.40x = 19,165,616.88
  5. Step 5: Solve for x
    x = 19,165,616.88/6,563.40
  6. Step 6: Final answer
    x = 2,920.07

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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.