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Finding the Fourth Proportional to 19,133, 28,697.84 and 6,649.80

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Solution

The fourth proportional to 19,133, 28,697.84 and 6,649.80 is: 9,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133 : 28,697.84 = 6,649.80 : x
  2. Step 2: Convert to fraction form
    19,133/28,697.84 = 6,649.80/x
  3. Step 3: Cross multiply
    19,133x = 28,697.84 × 6,649.80
  4. Step 4: Simplify right side
    19,133x = 190,834,896.43
  5. Step 5: Solve for x
    x = 190,834,896.43/19,133
  6. Step 6: Final answer
    x = 9,974.12

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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.