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Finding the Fourth Proportional to 14,112, 19,474.67 and 7,824.38

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Solution

The fourth proportional to 14,112, 19,474.67 and 7,824.38 is: 10,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 19,474.67 = 7,824.38 : x
  2. Step 2: Convert to fraction form
    14,112/19,474.67 = 7,824.38/x
  3. Step 3: Cross multiply
    14,112x = 19,474.67 × 7,824.38
  4. Step 4: Simplify right side
    14,112x = 152,377,140.64
  5. Step 5: Solve for x
    x = 152,377,140.64/14,112
  6. Step 6: Final answer
    x = 10,797.70

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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.