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Finding the Fourth Proportional to 14,097.42, 19,454.94 and 7,809.80

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Solution

The fourth proportional to 14,097.42, 19,454.94 and 7,809.80 is: 10,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.42 : 19,454.94 = 7,809.80 : x
  2. Step 2: Convert to fraction form
    14,097.42/19,454.94 = 7,809.80/x
  3. Step 3: Cross multiply
    14,097.42x = 19,454.94 × 7,809.80
  4. Step 4: Simplify right side
    14,097.42x = 151,939,093.14
  5. Step 5: Solve for x
    x = 151,939,093.14/14,097.42
  6. Step 6: Final answer
    x = 10,777.79

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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.