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Finding the Fourth Proportional to 6,563.40, 9,836.10 and 4,216.20

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Solution

The fourth proportional to 6,563.40, 9,836.10 and 4,216.20 is: 6,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.40 : 9,836.10 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    6,563.40/9,836.10 = 4,216.20/x
  3. Step 3: Cross multiply
    6,563.40x = 9,836.10 × 4,216.20
  4. Step 4: Simplify right side
    6,563.40x = 41,470,964.82
  5. Step 5: Solve for x
    x = 41,470,964.82/6,563.40
  6. Step 6: Final answer
    x = 6,318.52

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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.