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Finding the Fourth Proportional to 25,751.40, 38,633.13 and 7,981.13

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Solution

The fourth proportional to 25,751.40, 38,633.13 and 7,981.13 is: 11,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.40 : 38,633.13 = 7,981.13 : x
  2. Step 2: Convert to fraction form
    25,751.40/38,633.13 = 7,981.13/x
  3. Step 3: Cross multiply
    25,751.40x = 38,633.13 × 7,981.13
  4. Step 4: Simplify right side
    25,751.40x = 308,336,106.97
  5. Step 5: Solve for x
    x = 308,336,106.97/25,751.40
  6. Step 6: Final answer
    x = 11,973.57

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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.