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Finding the Fourth Proportional to 6,884.45, 10,326.77 and 1,690.32

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Solution

The fourth proportional to 6,884.45, 10,326.77 and 1,690.32 is: 2,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.45 : 10,326.77 = 1,690.32 : x
  2. Step 2: Convert to fraction form
    6,884.45/10,326.77 = 1,690.32/x
  3. Step 3: Cross multiply
    6,884.45x = 10,326.77 × 1,690.32
  4. Step 4: Simplify right side
    6,884.45x = 17,455,545.87
  5. Step 5: Solve for x
    x = 17,455,545.87/6,884.45
  6. Step 6: Final answer
    x = 2,535.50

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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.