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Finding the Fourth Proportional to 14,096.88, 19,453.68 and 7,809.12

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Solution

The fourth proportional to 14,096.88, 19,453.68 and 7,809.12 is: 10,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.88 : 19,453.68 = 7,809.12 : x
  2. Step 2: Convert to fraction form
    14,096.88/19,453.68 = 7,809.12/x
  3. Step 3: Cross multiply
    14,096.88x = 19,453.68 × 7,809.12
  4. Step 4: Simplify right side
    14,096.88x = 151,916,121.56
  5. Step 5: Solve for x
    x = 151,916,121.56/14,096.88
  6. Step 6: Final answer
    x = 10,776.58

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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.