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Finding the Fourth Proportional to 6,830.65, 10,245.93 and 1,900.32

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Solution

The fourth proportional to 6,830.65, 10,245.93 and 1,900.32 is: 2,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.65 : 10,245.93 = 1,900.32 : x
  2. Step 2: Convert to fraction form
    6,830.65/10,245.93 = 1,900.32/x
  3. Step 3: Cross multiply
    6,830.65x = 10,245.93 × 1,900.32
  4. Step 4: Simplify right side
    6,830.65x = 19,470,545.70
  5. Step 5: Solve for x
    x = 19,470,545.70/6,830.65
  6. Step 6: Final answer
    x = 2,850.47

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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.