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Finding the Fourth Proportional to 13,959.63, 19,262.12 and 8,294.23

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Solution

The fourth proportional to 13,959.63, 19,262.12 and 8,294.23 is: 11,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.63 : 19,262.12 = 8,294.23 : x
  2. Step 2: Convert to fraction form
    13,959.63/19,262.12 = 8,294.23/x
  3. Step 3: Cross multiply
    13,959.63x = 19,262.12 × 8,294.23
  4. Step 4: Simplify right side
    13,959.63x = 159,764,453.57
  5. Step 5: Solve for x
    x = 159,764,453.57/13,959.63
  6. Step 6: Final answer
    x = 11,444.75

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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.