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Finding the Fourth Proportional to 6,205.10, 8,667.70 and 6,205.10

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Solution

The fourth proportional to 6,205.10, 8,667.70 and 6,205.10 is: 8,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.10 : 8,667.70 = 6,205.10 : x
  2. Step 2: Convert to fraction form
    6,205.10/8,667.70 = 6,205.10/x
  3. Step 3: Cross multiply
    6,205.10x = 8,667.70 × 6,205.10
  4. Step 4: Simplify right side
    6,205.10x = 53,783,945.27
  5. Step 5: Solve for x
    x = 53,783,945.27/6,205.10
  6. Step 6: Final answer
    x = 8,667.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.