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Finding the Fourth Proportional to 6,798.48, 10,198.10 and 1,868.01

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Solution

The fourth proportional to 6,798.48, 10,198.10 and 1,868.01 is: 2,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.48 : 10,198.10 = 1,868.01 : x
  2. Step 2: Convert to fraction form
    6,798.48/10,198.10 = 1,868.01/x
  3. Step 3: Cross multiply
    6,798.48x = 10,198.10 × 1,868.01
  4. Step 4: Simplify right side
    6,798.48x = 19,050,176.57
  5. Step 5: Solve for x
    x = 19,050,176.57/6,798.48
  6. Step 6: Final answer
    x = 2,802.12

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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.