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Finding the Fourth Proportional to 30,782.25, 46,173.38 and 7,408.69

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Solution

The fourth proportional to 30,782.25, 46,173.38 and 7,408.69 is: 11,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.25 : 46,173.38 = 7,408.69 : x
  2. Step 2: Convert to fraction form
    30,782.25/46,173.38 = 7,408.69/x
  3. Step 3: Cross multiply
    30,782.25x = 46,173.38 × 7,408.69
  4. Step 4: Simplify right side
    30,782.25x = 342,084,106.20
  5. Step 5: Solve for x
    x = 342,084,106.20/30,782.25
  6. Step 6: Final answer
    x = 11,113.03

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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.