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Finding the Fourth Proportional to 4,685.34, 7,022.09 and 4,099.01

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Solution

The fourth proportional to 4,685.34, 7,022.09 and 4,099.01 is: 6,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.34 : 7,022.09 = 4,099.01 : x
  2. Step 2: Convert to fraction form
    4,685.34/7,022.09 = 4,099.01/x
  3. Step 3: Cross multiply
    4,685.34x = 7,022.09 × 4,099.01
  4. Step 4: Simplify right side
    4,685.34x = 28,783,592.27
  5. Step 5: Solve for x
    x = 28,783,592.27/4,685.34
  6. Step 6: Final answer
    x = 6,143.33

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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.