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Finding the Fourth Proportional to 6,884.10, 10,326.17 and 1,689.98

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Solution

The fourth proportional to 6,884.10, 10,326.17 and 1,689.98 is: 2,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.10 : 10,326.17 = 1,689.98 : x
  2. Step 2: Convert to fraction form
    6,884.10/10,326.17 = 1,689.98/x
  3. Step 3: Cross multiply
    6,884.10x = 10,326.17 × 1,689.98
  4. Step 4: Simplify right side
    6,884.10x = 17,450,999.42
  5. Step 5: Solve for x
    x = 17,450,999.42/6,884.10
  6. Step 6: Final answer
    x = 2,534.97

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1.5x scale

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.