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Finding the Fourth Proportional to 14,227.84, 19,634.94 and 7,941.42

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Solution

The fourth proportional to 14,227.84, 19,634.94 and 7,941.42 is: 10,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.84 : 19,634.94 = 7,941.42 : x
  2. Step 2: Convert to fraction form
    14,227.84/19,634.94 = 7,941.42/x
  3. Step 3: Cross multiply
    14,227.84x = 19,634.94 × 7,941.42
  4. Step 4: Simplify right side
    14,227.84x = 155,929,305.21
  5. Step 5: Solve for x
    x = 155,929,305.21/14,227.84
  6. Step 6: Final answer
    x = 10,959.45

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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.