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Finding the Fourth Proportional to 8,303.63, 11,458.17 and 4,945.77

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Solution

The fourth proportional to 8,303.63, 11,458.17 and 4,945.77 is: 6,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.63 : 11,458.17 = 4,945.77 : x
  2. Step 2: Convert to fraction form
    8,303.63/11,458.17 = 4,945.77/x
  3. Step 3: Cross multiply
    8,303.63x = 11,458.17 × 4,945.77
  4. Step 4: Simplify right side
    8,303.63x = 56,669,473.44
  5. Step 5: Solve for x
    x = 56,669,473.44/8,303.63
  6. Step 6: Final answer
    x = 6,824.67

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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.