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Finding the Fourth Proportional to 6,884.80, 10,326.08 and 1,953.21

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Solution

The fourth proportional to 6,884.80, 10,326.08 and 1,953.21 is: 2,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.80 : 10,326.08 = 1,953.21 : x
  2. Step 2: Convert to fraction form
    6,884.80/10,326.08 = 1,953.21/x
  3. Step 3: Cross multiply
    6,884.80x = 10,326.08 × 1,953.21
  4. Step 4: Simplify right side
    6,884.80x = 20,169,046.32
  5. Step 5: Solve for x
    x = 20,169,046.32/6,884.80
  6. Step 6: Final answer
    x = 2,929.50

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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.