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Finding the Fourth Proportional to 17,194.64, 25,797 and 7,204.16

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Solution

The fourth proportional to 17,194.64, 25,797 and 7,204.16 is: 10,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.64 : 25,797 = 7,204.16 : x
  2. Step 2: Convert to fraction form
    17,194.64/25,797 = 7,204.16/x
  3. Step 3: Cross multiply
    17,194.64x = 25,797 × 7,204.16
  4. Step 4: Simplify right side
    17,194.64x = 185,845,715.52
  5. Step 5: Solve for x
    x = 185,845,715.52/17,194.64
  6. Step 6: Final answer
    x = 10,808.35

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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.