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Finding the Fourth Proportional to 19,893, 29,833.13 and 6,563.01

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Solution

The fourth proportional to 19,893, 29,833.13 and 6,563.01 is: 9,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893 : 29,833.13 = 6,563.01 : x
  2. Step 2: Convert to fraction form
    19,893/29,833.13 = 6,563.01/x
  3. Step 3: Cross multiply
    19,893x = 29,833.13 × 6,563.01
  4. Step 4: Simplify right side
    19,893x = 195,795,130.52
  5. Step 5: Solve for x
    x = 195,795,130.52/19,893
  6. Step 6: Final answer
    x = 9,842.41

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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.