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Finding the Fourth Proportional to 13,597.99, 20,397.17 and 5,278.48

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Solution

The fourth proportional to 13,597.99, 20,397.17 and 5,278.48 is: 7,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.99 : 20,397.17 = 5,278.48 : x
  2. Step 2: Convert to fraction form
    13,597.99/20,397.17 = 5,278.48/x
  3. Step 3: Cross multiply
    13,597.99x = 20,397.17 × 5,278.48
  4. Step 4: Simplify right side
    13,597.99x = 107,666,027.51
  5. Step 5: Solve for x
    x = 107,666,027.51/13,597.99
  6. Step 6: Final answer
    x = 7,917.79

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1.5x scale

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.