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Finding the Fourth Proportional to 6,334.58, 9,462.36 and 4,694.32

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Solution

The fourth proportional to 6,334.58, 9,462.36 and 4,694.32 is: 7,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.58 : 9,462.36 = 4,694.32 : x
  2. Step 2: Convert to fraction form
    6,334.58/9,462.36 = 4,694.32/x
  3. Step 3: Cross multiply
    6,334.58x = 9,462.36 × 4,694.32
  4. Step 4: Simplify right side
    6,334.58x = 44,419,345.80
  5. Step 5: Solve for x
    x = 44,419,345.80/6,334.58
  6. Step 6: Final answer
    x = 7,012.20

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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.