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Finding the Fourth Proportional to 14,074.63, 21,093.48 and 7,831.42

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Solution

The fourth proportional to 14,074.63, 21,093.48 and 7,831.42 is: 11,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.63 : 21,093.48 = 7,831.42 : x
  2. Step 2: Convert to fraction form
    14,074.63/21,093.48 = 7,831.42/x
  3. Step 3: Cross multiply
    14,074.63x = 21,093.48 × 7,831.42
  4. Step 4: Simplify right side
    14,074.63x = 165,191,848.41
  5. Step 5: Solve for x
    x = 165,191,848.41/14,074.63
  6. Step 6: Final answer
    x = 11,736.85

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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.