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Finding the Fourth Proportional to 6,804.06, 10,206.10 and 3,340.50

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Solution

The fourth proportional to 6,804.06, 10,206.10 and 3,340.50 is: 5,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.06 : 10,206.10 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    6,804.06/10,206.10 = 3,340.50/x
  3. Step 3: Cross multiply
    6,804.06x = 10,206.10 × 3,340.50
  4. Step 4: Simplify right side
    6,804.06x = 34,093,477.05
  5. Step 5: Solve for x
    x = 34,093,477.05/6,804.06
  6. Step 6: Final answer
    x = 5,010.75

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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.