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Finding the Fourth Proportional to 14,097.78, 19,454.18 and 7,809.75

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Solution

The fourth proportional to 14,097.78, 19,454.18 and 7,809.75 is: 10,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.78 : 19,454.18 = 7,809.75 : x
  2. Step 2: Convert to fraction form
    14,097.78/19,454.18 = 7,809.75/x
  3. Step 3: Cross multiply
    14,097.78x = 19,454.18 × 7,809.75
  4. Step 4: Simplify right side
    14,097.78x = 151,932,243.21
  5. Step 5: Solve for x
    x = 151,932,243.21/14,097.78
  6. Step 6: Final answer
    x = 10,777.03

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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.