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Finding the Fourth Proportional to 6,442.84, 9,653.46 and 3,846.52

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Solution

The fourth proportional to 6,442.84, 9,653.46 and 3,846.52 is: 5,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.84 : 9,653.46 = 3,846.52 : x
  2. Step 2: Convert to fraction form
    6,442.84/9,653.46 = 3,846.52/x
  3. Step 3: Cross multiply
    6,442.84x = 9,653.46 × 3,846.52
  4. Step 4: Simplify right side
    6,442.84x = 37,132,226.96
  5. Step 5: Solve for x
    x = 37,132,226.96/6,442.84
  6. Step 6: Final answer
    x = 5,763.33

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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.