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Finding the Fourth Proportional to 13,012.14, 19,500.73 and 6,759.14

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Solution

The fourth proportional to 13,012.14, 19,500.73 and 6,759.14 is: 10,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.14 : 19,500.73 = 6,759.14 : x
  2. Step 2: Convert to fraction form
    13,012.14/19,500.73 = 6,759.14/x
  3. Step 3: Cross multiply
    13,012.14x = 19,500.73 × 6,759.14
  4. Step 4: Simplify right side
    13,012.14x = 131,808,164.17
  5. Step 5: Solve for x
    x = 131,808,164.17/13,012.14
  6. Step 6: Final answer
    x = 10,129.63

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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.