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Finding the Fourth Proportional to 19,740, 29,610 and 6,589.38

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Solution

The fourth proportional to 19,740, 29,610 and 6,589.38 is: 9,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 29,610 = 6,589.38 : x
  2. Step 2: Convert to fraction form
    19,740/29,610 = 6,589.38/x
  3. Step 3: Cross multiply
    19,740x = 29,610 × 6,589.38
  4. Step 4: Simplify right side
    19,740x = 195,111,541.80
  5. Step 5: Solve for x
    x = 195,111,541.80/19,740
  6. Step 6: Final answer
    x = 9,884.07

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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.