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Finding the Fourth Proportional to 17,094.84, 25,643.88 and 10,506.84

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Solution

The fourth proportional to 17,094.84, 25,643.88 and 10,506.84 is: 15,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.84 : 25,643.88 = 10,506.84 : x
  2. Step 2: Convert to fraction form
    17,094.84/25,643.88 = 10,506.84/x
  3. Step 3: Cross multiply
    17,094.84x = 25,643.88 × 10,506.84
  4. Step 4: Simplify right side
    17,094.84x = 269,436,144.14
  5. Step 5: Solve for x
    x = 269,436,144.14/17,094.84
  6. Step 6: Final answer
    x = 15,761.26

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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.