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Finding the Fourth Proportional to 6,798.07, 10,199.70 and 2,641

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Solution

The fourth proportional to 6,798.07, 10,199.70 and 2,641 is: 3,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.07 : 10,199.70 = 2,641 : x
  2. Step 2: Convert to fraction form
    6,798.07/10,199.70 = 2,641/x
  3. Step 3: Cross multiply
    6,798.07x = 10,199.70 × 2,641
  4. Step 4: Simplify right side
    6,798.07x = 26,937,407.70
  5. Step 5: Solve for x
    x = 26,937,407.70/6,798.07
  6. Step 6: Final answer
    x = 3,962.51

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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.