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Finding the Fourth Proportional to 23,798, 35,699.20 and 6,267.92

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Solution

The fourth proportional to 23,798, 35,699.20 and 6,267.92 is: 9,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 35,699.20 = 6,267.92 : x
  2. Step 2: Convert to fraction form
    23,798/35,699.20 = 6,267.92/x
  3. Step 3: Cross multiply
    23,798x = 35,699.20 × 6,267.92
  4. Step 4: Simplify right side
    23,798x = 223,759,729.66
  5. Step 5: Solve for x
    x = 223,759,729.66/23,798
  6. Step 6: Final answer
    x = 9,402.46

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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.