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Finding the Fourth Proportional to 6,993.68, 9,639.42 and 4,631.72

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Solution

The fourth proportional to 6,993.68, 9,639.42 and 4,631.72 is: 6,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.68 : 9,639.42 = 4,631.72 : x
  2. Step 2: Convert to fraction form
    6,993.68/9,639.42 = 4,631.72/x
  3. Step 3: Cross multiply
    6,993.68x = 9,639.42 × 4,631.72
  4. Step 4: Simplify right side
    6,993.68x = 44,647,094.40
  5. Step 5: Solve for x
    x = 44,647,094.40/6,993.68
  6. Step 6: Final answer
    x = 6,383.92

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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.