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Finding the Fourth Proportional to 35,853, 53,779.30 and 9,198.88

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Solution

The fourth proportional to 35,853, 53,779.30 and 9,198.88 is: 13,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853 : 53,779.30 = 9,198.88 : x
  2. Step 2: Convert to fraction form
    35,853/53,779.30 = 9,198.88/x
  3. Step 3: Cross multiply
    35,853x = 53,779.30 × 9,198.88
  4. Step 4: Simplify right side
    35,853x = 494,709,327.18
  5. Step 5: Solve for x
    x = 494,709,327.18/35,853
  6. Step 6: Final answer
    x = 13,798.27

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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.