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Finding the Fourth Proportional to 17,086.10, 25,623.06 and 7,730.60

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Solution

The fourth proportional to 17,086.10, 25,623.06 and 7,730.60 is: 11,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.10 : 25,623.06 = 7,730.60 : x
  2. Step 2: Convert to fraction form
    17,086.10/25,623.06 = 7,730.60/x
  3. Step 3: Cross multiply
    17,086.10x = 25,623.06 × 7,730.60
  4. Step 4: Simplify right side
    17,086.10x = 198,081,627.64
  5. Step 5: Solve for x
    x = 198,081,627.64/17,086.10
  6. Step 6: Final answer
    x = 11,593.14

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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.