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Finding the Fourth Proportional to 8,256, 11,393.88 and 4,719.14

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Solution

The fourth proportional to 8,256, 11,393.88 and 4,719.14 is: 6,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256 : 11,393.88 = 4,719.14 : x
  2. Step 2: Convert to fraction form
    8,256/11,393.88 = 4,719.14/x
  3. Step 3: Cross multiply
    8,256x = 11,393.88 × 4,719.14
  4. Step 4: Simplify right side
    8,256x = 53,769,314.86
  5. Step 5: Solve for x
    x = 53,769,314.86/8,256
  6. Step 6: Final answer
    x = 6,512.76

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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.