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Finding the Fourth Proportional to 17,097.46, 25,643.62 and 5,409.16

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Solution

The fourth proportional to 17,097.46, 25,643.62 and 5,409.16 is: 8,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.46 : 25,643.62 = 5,409.16 : x
  2. Step 2: Convert to fraction form
    17,097.46/25,643.62 = 5,409.16/x
  3. Step 3: Cross multiply
    17,097.46x = 25,643.62 × 5,409.16
  4. Step 4: Simplify right side
    17,097.46x = 138,710,443.56
  5. Step 5: Solve for x
    x = 138,710,443.56/17,097.46
  6. Step 6: Final answer
    x = 8,112.93

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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.