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Finding the Fourth Proportional to 6,509.21, 9,724.24 and 4,150.42

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Solution

The fourth proportional to 6,509.21, 9,724.24 and 4,150.42 is: 6,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.21 : 9,724.24 = 4,150.42 : x
  2. Step 2: Convert to fraction form
    6,509.21/9,724.24 = 4,150.42/x
  3. Step 3: Cross multiply
    6,509.21x = 9,724.24 × 4,150.42
  4. Step 4: Simplify right side
    6,509.21x = 40,359,631.56
  5. Step 5: Solve for x
    x = 40,359,631.56/6,509.21
  6. Step 6: Final answer
    x = 6,200.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.