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Finding the Fourth Proportional to 27,314.64, 40,971.56 and 8,846.64

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Solution

The fourth proportional to 27,314.64, 40,971.56 and 8,846.64 is: 13,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.64 : 40,971.56 = 8,846.64 : x
  2. Step 2: Convert to fraction form
    27,314.64/40,971.56 = 8,846.64/x
  3. Step 3: Cross multiply
    27,314.64x = 40,971.56 × 8,846.64
  4. Step 4: Simplify right side
    27,314.64x = 362,460,597.33
  5. Step 5: Solve for x
    x = 362,460,597.33/27,314.64
  6. Step 6: Final answer
    x = 13,269.83

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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.