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Finding the Fourth Proportional to 6,863.58, 10,295.34 and 1,669.50

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Solution

The fourth proportional to 6,863.58, 10,295.34 and 1,669.50 is: 2,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.58 : 10,295.34 = 1,669.50 : x
  2. Step 2: Convert to fraction form
    6,863.58/10,295.34 = 1,669.50/x
  3. Step 3: Cross multiply
    6,863.58x = 10,295.34 × 1,669.50
  4. Step 4: Simplify right side
    6,863.58x = 17,188,070.13
  5. Step 5: Solve for x
    x = 17,188,070.13/6,863.58
  6. Step 6: Final answer
    x = 2,504.24

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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.