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Finding the Fourth Proportional to 12,894.75, 19,343.97 and 4,892.46

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Solution

The fourth proportional to 12,894.75, 19,343.97 and 4,892.46 is: 7,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.75 : 19,343.97 = 4,892.46 : x
  2. Step 2: Convert to fraction form
    12,894.75/19,343.97 = 4,892.46/x
  3. Step 3: Cross multiply
    12,894.75x = 19,343.97 × 4,892.46
  4. Step 4: Simplify right side
    12,894.75x = 94,639,599.47
  5. Step 5: Solve for x
    x = 94,639,599.47/12,894.75
  6. Step 6: Final answer
    x = 7,339.39

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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.