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Finding the Fourth Proportional to 14,362.74, 19,822.62 and 8,698.14

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Solution

The fourth proportional to 14,362.74, 19,822.62 and 8,698.14 is: 12,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.74 : 19,822.62 = 8,698.14 : x
  2. Step 2: Convert to fraction form
    14,362.74/19,822.62 = 8,698.14/x
  3. Step 3: Cross multiply
    14,362.74x = 19,822.62 × 8,698.14
  4. Step 4: Simplify right side
    14,362.74x = 172,419,923.93
  5. Step 5: Solve for x
    x = 172,419,923.93/14,362.74
  6. Step 6: Final answer
    x = 12,004.67

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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.