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Finding the Fourth Proportional to 15,992.25, 23,977.14 and 7,102.77

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Solution

The fourth proportional to 15,992.25, 23,977.14 and 7,102.77 is: 10,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.25 : 23,977.14 = 7,102.77 : x
  2. Step 2: Convert to fraction form
    15,992.25/23,977.14 = 7,102.77/x
  3. Step 3: Cross multiply
    15,992.25x = 23,977.14 × 7,102.77
  4. Step 4: Simplify right side
    15,992.25x = 170,304,110.68
  5. Step 5: Solve for x
    x = 170,304,110.68/15,992.25
  6. Step 6: Final answer
    x = 10,649.17

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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.