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Finding the Fourth Proportional to 4,294.93, 6,444.83 and 1,829.50

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Solution

The fourth proportional to 4,294.93, 6,444.83 and 1,829.50 is: 2,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.93 : 6,444.83 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    4,294.93/6,444.83 = 1,829.50/x
  3. Step 3: Cross multiply
    4,294.93x = 6,444.83 × 1,829.50
  4. Step 4: Simplify right side
    4,294.93x = 11,790,816.49
  5. Step 5: Solve for x
    x = 11,790,816.49/4,294.93
  6. Step 6: Final answer
    x = 2,745.29

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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.