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Finding the Fourth Proportional to 8,614.64, 11,884.92 and 5,076.56

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Solution

The fourth proportional to 8,614.64, 11,884.92 and 5,076.56 is: 7,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.64 : 11,884.92 = 5,076.56 : x
  2. Step 2: Convert to fraction form
    8,614.64/11,884.92 = 5,076.56/x
  3. Step 3: Cross multiply
    8,614.64x = 11,884.92 × 5,076.56
  4. Step 4: Simplify right side
    8,614.64x = 60,334,509.48
  5. Step 5: Solve for x
    x = 60,334,509.48/8,614.64
  6. Step 6: Final answer
    x = 7,003.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.