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Finding the Fourth Proportional to 17,956, 24,779.76 and 9,998.56

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Solution

The fourth proportional to 17,956, 24,779.76 and 9,998.56 is: 13,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956 : 24,779.76 = 9,998.56 : x
  2. Step 2: Convert to fraction form
    17,956/24,779.76 = 9,998.56/x
  3. Step 3: Cross multiply
    17,956x = 24,779.76 × 9,998.56
  4. Step 4: Simplify right side
    17,956x = 247,761,917.15
  5. Step 5: Solve for x
    x = 247,761,917.15/17,956
  6. Step 6: Final answer
    x = 13,798.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.