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Finding the Fourth Proportional to 6,364.56, 8,789.76 and 4,380.24

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Solution

The fourth proportional to 6,364.56, 8,789.76 and 4,380.24 is: 6,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.56 : 8,789.76 = 4,380.24 : x
  2. Step 2: Convert to fraction form
    6,364.56/8,789.76 = 4,380.24/x
  3. Step 3: Cross multiply
    6,364.56x = 8,789.76 × 4,380.24
  4. Step 4: Simplify right side
    6,364.56x = 38,501,258.34
  5. Step 5: Solve for x
    x = 38,501,258.34/6,364.56
  6. Step 6: Final answer
    x = 6,049.32

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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.