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Finding the Fourth Proportional to 14,967.84, 22,451.97 and 7,174.83

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Solution

The fourth proportional to 14,967.84, 22,451.97 and 7,174.83 is: 10,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.84 : 22,451.97 = 7,174.83 : x
  2. Step 2: Convert to fraction form
    14,967.84/22,451.97 = 7,174.83/x
  3. Step 3: Cross multiply
    14,967.84x = 22,451.97 × 7,174.83
  4. Step 4: Simplify right side
    14,967.84x = 161,089,067.92
  5. Step 5: Solve for x
    x = 161,089,067.92/14,967.84
  6. Step 6: Final answer
    x = 10,762.35

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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.