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Finding the Fourth Proportional to 19,277.95, 28,921.17 and 8,194.12

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Solution

The fourth proportional to 19,277.95, 28,921.17 and 8,194.12 is: 12,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277.95 : 28,921.17 = 8,194.12 : x
  2. Step 2: Convert to fraction form
    19,277.95/28,921.17 = 8,194.12/x
  3. Step 3: Cross multiply
    19,277.95x = 28,921.17 × 8,194.12
  4. Step 4: Simplify right side
    19,277.95x = 236,983,537.52
  5. Step 5: Solve for x
    x = 236,983,537.52/19,277.95
  6. Step 6: Final answer
    x = 12,292.98

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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.