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Finding the Fourth Proportional to 14,323.53, 19,766.64 and 7,950.24

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Solution

The fourth proportional to 14,323.53, 19,766.64 and 7,950.24 is: 10,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.53 : 19,766.64 = 7,950.24 : x
  2. Step 2: Convert to fraction form
    14,323.53/19,766.64 = 7,950.24/x
  3. Step 3: Cross multiply
    14,323.53x = 19,766.64 × 7,950.24
  4. Step 4: Simplify right side
    14,323.53x = 157,149,531.99
  5. Step 5: Solve for x
    x = 157,149,531.99/14,323.53
  6. Step 6: Final answer
    x = 10,971.42

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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.