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Finding the Fourth Proportional to 6,405.44, 9,612.24 and 2,509.76

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Solution

The fourth proportional to 6,405.44, 9,612.24 and 2,509.76 is: 3,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.44 : 9,612.24 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    6,405.44/9,612.24 = 2,509.76/x
  3. Step 3: Cross multiply
    6,405.44x = 9,612.24 × 2,509.76
  4. Step 4: Simplify right side
    6,405.44x = 24,124,415.46
  5. Step 5: Solve for x
    x = 24,124,415.46/6,405.44
  6. Step 6: Final answer
    x = 3,766.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.