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Finding the Fourth Proportional to 14,097.16, 19,454.34 and 7,809.88

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Solution

The fourth proportional to 14,097.16, 19,454.34 and 7,809.88 is: 10,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.16 : 19,454.34 = 7,809.88 : x
  2. Step 2: Convert to fraction form
    14,097.16/19,454.34 = 7,809.88/x
  3. Step 3: Cross multiply
    14,097.16x = 19,454.34 × 7,809.88
  4. Step 4: Simplify right side
    14,097.16x = 151,936,060.88
  5. Step 5: Solve for x
    x = 151,936,060.88/14,097.16
  6. Step 6: Final answer
    x = 10,777.78

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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.