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Finding the Fourth Proportional to 19,777.50, 27,293 and 10,825.07

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Solution

The fourth proportional to 19,777.50, 27,293 and 10,825.07 is: 14,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.50 : 27,293 = 10,825.07 : x
  2. Step 2: Convert to fraction form
    19,777.50/27,293 = 10,825.07/x
  3. Step 3: Cross multiply
    19,777.50x = 27,293 × 10,825.07
  4. Step 4: Simplify right side
    19,777.50x = 295,448,635.51
  5. Step 5: Solve for x
    x = 295,448,635.51/19,777.50
  6. Step 6: Final answer
    x = 14,938.63

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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.