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Finding the Fourth Proportional to 6,693.98, 10,041.50 and 1,763.57

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Solution

The fourth proportional to 6,693.98, 10,041.50 and 1,763.57 is: 2,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.98 : 10,041.50 = 1,763.57 : x
  2. Step 2: Convert to fraction form
    6,693.98/10,041.50 = 1,763.57/x
  3. Step 3: Cross multiply
    6,693.98x = 10,041.50 × 1,763.57
  4. Step 4: Simplify right side
    6,693.98x = 17,708,829.13
  5. Step 5: Solve for x
    x = 17,708,829.13/6,693.98
  6. Step 6: Final answer
    x = 2,645.48

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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.