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Finding the Fourth Proportional to 27,471.60, 41,207.40 and 13,647.60

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Solution

The fourth proportional to 27,471.60, 41,207.40 and 13,647.60 is: 20,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.60 : 41,207.40 = 13,647.60 : x
  2. Step 2: Convert to fraction form
    27,471.60/41,207.40 = 13,647.60/x
  3. Step 3: Cross multiply
    27,471.60x = 41,207.40 × 13,647.60
  4. Step 4: Simplify right side
    27,471.60x = 562,382,112.24
  5. Step 5: Solve for x
    x = 562,382,112.24/27,471.60
  6. Step 6: Final answer
    x = 20,471.40

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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.