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Finding the Fourth Proportional to 6,411.44, 9,602.76 and 3,816.56

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Solution

The fourth proportional to 6,411.44, 9,602.76 and 3,816.56 is: 5,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.44 : 9,602.76 = 3,816.56 : x
  2. Step 2: Convert to fraction form
    6,411.44/9,602.76 = 3,816.56/x
  3. Step 3: Cross multiply
    6,411.44x = 9,602.76 × 3,816.56
  4. Step 4: Simplify right side
    6,411.44x = 36,649,509.71
  5. Step 5: Solve for x
    x = 36,649,509.71/6,411.44
  6. Step 6: Final answer
    x = 5,716.27

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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.