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Finding the Fourth Proportional to 14,323.91, 19,767.09 and 7,950.53

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Solution

The fourth proportional to 14,323.91, 19,767.09 and 7,950.53 is: 10,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.91 : 19,767.09 = 7,950.53 : x
  2. Step 2: Convert to fraction form
    14,323.91/19,767.09 = 7,950.53/x
  3. Step 3: Cross multiply
    14,323.91x = 19,767.09 × 7,950.53
  4. Step 4: Simplify right side
    14,323.91x = 157,158,743.22
  5. Step 5: Solve for x
    x = 157,158,743.22/14,323.91
  6. Step 6: Final answer
    x = 10,971.78

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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.