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Finding the Fourth Proportional to 6,329.25, 9,493.89 and 1,712.25

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Solution

The fourth proportional to 6,329.25, 9,493.89 and 1,712.25 is: 2,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.25 : 9,493.89 = 1,712.25 : x
  2. Step 2: Convert to fraction form
    6,329.25/9,493.89 = 1,712.25/x
  3. Step 3: Cross multiply
    6,329.25x = 9,493.89 × 1,712.25
  4. Step 4: Simplify right side
    6,329.25x = 16,255,913.15
  5. Step 5: Solve for x
    x = 16,255,913.15/6,329.25
  6. Step 6: Final answer
    x = 2,568.38

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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.