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Finding the Fourth Proportional to 14,112.96, 19,476 and 7,825.44

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Solution

The fourth proportional to 14,112.96, 19,476 and 7,825.44 is: 10,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.96 : 19,476 = 7,825.44 : x
  2. Step 2: Convert to fraction form
    14,112.96/19,476 = 7,825.44/x
  3. Step 3: Cross multiply
    14,112.96x = 19,476 × 7,825.44
  4. Step 4: Simplify right side
    14,112.96x = 152,408,269.44
  5. Step 5: Solve for x
    x = 152,408,269.44/14,112.96
  6. Step 6: Final answer
    x = 10,799.17

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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.