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Finding the Fourth Proportional to 19,633.50, 29,450.25 and 5,782.50

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Solution

The fourth proportional to 19,633.50, 29,450.25 and 5,782.50 is: 8,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.50 : 29,450.25 = 5,782.50 : x
  2. Step 2: Convert to fraction form
    19,633.50/29,450.25 = 5,782.50/x
  3. Step 3: Cross multiply
    19,633.50x = 29,450.25 × 5,782.50
  4. Step 4: Simplify right side
    19,633.50x = 170,296,070.63
  5. Step 5: Solve for x
    x = 170,296,070.63/19,633.50
  6. Step 6: Final answer
    x = 8,673.75

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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.