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Finding the Fourth Proportional to 6,563.14, 9,057.31 and 4,011.31

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Solution

The fourth proportional to 6,563.14, 9,057.31 and 4,011.31 is: 5,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.14 : 9,057.31 = 4,011.31 : x
  2. Step 2: Convert to fraction form
    6,563.14/9,057.31 = 4,011.31/x
  3. Step 3: Cross multiply
    6,563.14x = 9,057.31 × 4,011.31
  4. Step 4: Simplify right side
    6,563.14x = 36,331,679.47
  5. Step 5: Solve for x
    x = 36,331,679.47/6,563.14
  6. Step 6: Final answer
    x = 5,535.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.