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Finding the Fourth Proportional to 19,648, 29,477.40 and 5,797

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Solution

The fourth proportional to 19,648, 29,477.40 and 5,797 is: 8,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648 : 29,477.40 = 5,797 : x
  2. Step 2: Convert to fraction form
    19,648/29,477.40 = 5,797/x
  3. Step 3: Cross multiply
    19,648x = 29,477.40 × 5,797
  4. Step 4: Simplify right side
    19,648x = 170,880,487.80
  5. Step 5: Solve for x
    x = 170,880,487.80/19,648
  6. Step 6: Final answer
    x = 8,697.09

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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.