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Finding the Fourth Proportional to 13,059.78, 19,589.68 and 4,739.78

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Solution

The fourth proportional to 13,059.78, 19,589.68 and 4,739.78 is: 7,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.78 : 19,589.68 = 4,739.78 : x
  2. Step 2: Convert to fraction form
    13,059.78/19,589.68 = 4,739.78/x
  3. Step 3: Cross multiply
    13,059.78x = 19,589.68 × 4,739.78
  4. Step 4: Simplify right side
    13,059.78x = 92,850,828.37
  5. Step 5: Solve for x
    x = 92,850,828.37/13,059.78
  6. Step 6: Final answer
    x = 7,109.68

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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.