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Finding the Fourth Proportional to 10,597.78, 15,899.54 and 3,202.48

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Solution

The fourth proportional to 10,597.78, 15,899.54 and 3,202.48 is: 4,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.78 : 15,899.54 = 3,202.48 : x
  2. Step 2: Convert to fraction form
    10,597.78/15,899.54 = 3,202.48/x
  3. Step 3: Cross multiply
    10,597.78x = 15,899.54 × 3,202.48
  4. Step 4: Simplify right side
    10,597.78x = 50,917,958.86
  5. Step 5: Solve for x
    x = 50,917,958.86/10,597.78
  6. Step 6: Final answer
    x = 4,804.59

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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.