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Finding the Fourth Proportional to 6,798.06, 10,200.06 and 4,030.11

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Solution

The fourth proportional to 6,798.06, 10,200.06 and 4,030.11 is: 6,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.06 : 10,200.06 = 4,030.11 : x
  2. Step 2: Convert to fraction form
    6,798.06/10,200.06 = 4,030.11/x
  3. Step 3: Cross multiply
    6,798.06x = 10,200.06 × 4,030.11
  4. Step 4: Simplify right side
    6,798.06x = 41,107,363.81
  5. Step 5: Solve for x
    x = 41,107,363.81/6,798.06
  6. Step 6: Final answer
    x = 6,046.93

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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.