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Finding the Fourth Proportional to 4,284.53, 6,409.02 and 4,022.09

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Solution

The fourth proportional to 4,284.53, 6,409.02 and 4,022.09 is: 6,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.53 : 6,409.02 = 4,022.09 : x
  2. Step 2: Convert to fraction form
    4,284.53/6,409.02 = 4,022.09/x
  3. Step 3: Cross multiply
    4,284.53x = 6,409.02 × 4,022.09
  4. Step 4: Simplify right side
    4,284.53x = 25,777,639.70
  5. Step 5: Solve for x
    x = 25,777,639.70/4,284.53
  6. Step 6: Final answer
    x = 6,016.45

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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.