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Finding the Fourth Proportional to 6,116.76, 8,440.52 and 3,463.64

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Solution

The fourth proportional to 6,116.76, 8,440.52 and 3,463.64 is: 4,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.76 : 8,440.52 = 3,463.64 : x
  2. Step 2: Convert to fraction form
    6,116.76/8,440.52 = 3,463.64/x
  3. Step 3: Cross multiply
    6,116.76x = 8,440.52 × 3,463.64
  4. Step 4: Simplify right side
    6,116.76x = 29,234,922.69
  5. Step 5: Solve for x
    x = 29,234,922.69/6,116.76
  6. Step 6: Final answer
    x = 4,779.48

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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.