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Finding the Fourth Proportional to 6,359.78, 9,535.22 and 2,800.16

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Solution

The fourth proportional to 6,359.78, 9,535.22 and 2,800.16 is: 4,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.78 : 9,535.22 = 2,800.16 : x
  2. Step 2: Convert to fraction form
    6,359.78/9,535.22 = 2,800.16/x
  3. Step 3: Cross multiply
    6,359.78x = 9,535.22 × 2,800.16
  4. Step 4: Simplify right side
    6,359.78x = 26,700,141.64
  5. Step 5: Solve for x
    x = 26,700,141.64/6,359.78
  6. Step 6: Final answer
    x = 4,198.28

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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.