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Finding the Fourth Proportional to 14,971.75, 22,451.12 and 7,950.23

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Solution

The fourth proportional to 14,971.75, 22,451.12 and 7,950.23 is: 11,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.75 : 22,451.12 = 7,950.23 : x
  2. Step 2: Convert to fraction form
    14,971.75/22,451.12 = 7,950.23/x
  3. Step 3: Cross multiply
    14,971.75x = 22,451.12 × 7,950.23
  4. Step 4: Simplify right side
    14,971.75x = 178,491,567.76
  5. Step 5: Solve for x
    x = 178,491,567.76/14,971.75
  6. Step 6: Final answer
    x = 11,921.89

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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.