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Finding the Fourth Proportional to 5,462.50, 8,192.71 and 1,763.84

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Solution

The fourth proportional to 5,462.50, 8,192.71 and 1,763.84 is: 2,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.50 : 8,192.71 = 1,763.84 : x
  2. Step 2: Convert to fraction form
    5,462.50/8,192.71 = 1,763.84/x
  3. Step 3: Cross multiply
    5,462.50x = 8,192.71 × 1,763.84
  4. Step 4: Simplify right side
    5,462.50x = 14,450,629.61
  5. Step 5: Solve for x
    x = 14,450,629.61/5,462.50
  6. Step 6: Final answer
    x = 2,645.42

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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.