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Finding the Fourth Proportional to 6,782.83, 9,360.64 and 3,798.67

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Solution

The fourth proportional to 6,782.83, 9,360.64 and 3,798.67 is: 5,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.83 : 9,360.64 = 3,798.67 : x
  2. Step 2: Convert to fraction form
    6,782.83/9,360.64 = 3,798.67/x
  3. Step 3: Cross multiply
    6,782.83x = 9,360.64 × 3,798.67
  4. Step 4: Simplify right side
    6,782.83x = 35,557,982.35
  5. Step 5: Solve for x
    x = 35,557,982.35/6,782.83
  6. Step 6: Final answer
    x = 5,242.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.