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Finding the Fourth Proportional to 16,782.51, 25,178.76 and 6,922.38

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Solution

The fourth proportional to 16,782.51, 25,178.76 and 6,922.38 is: 10,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.51 : 25,178.76 = 6,922.38 : x
  2. Step 2: Convert to fraction form
    16,782.51/25,178.76 = 6,922.38/x
  3. Step 3: Cross multiply
    16,782.51x = 25,178.76 × 6,922.38
  4. Step 4: Simplify right side
    16,782.51x = 174,296,944.65
  5. Step 5: Solve for x
    x = 174,296,944.65/16,782.51
  6. Step 6: Final answer
    x = 10,385.63

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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.