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Finding the Fourth Proportional to 8,295.44, 11,447.60 and 4,758.57

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Solution

The fourth proportional to 8,295.44, 11,447.60 and 4,758.57 is: 6,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.44 : 11,447.60 = 4,758.57 : x
  2. Step 2: Convert to fraction form
    8,295.44/11,447.60 = 4,758.57/x
  3. Step 3: Cross multiply
    8,295.44x = 11,447.60 × 4,758.57
  4. Step 4: Simplify right side
    8,295.44x = 54,474,182.14
  5. Step 5: Solve for x
    x = 54,474,182.14/8,295.44
  6. Step 6: Final answer
    x = 6,566.77

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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.