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Finding the Fourth Proportional to 6,667.70, 10,002.90 and 2,285.60

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Solution

The fourth proportional to 6,667.70, 10,002.90 and 2,285.60 is: 3,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.70 : 10,002.90 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    6,667.70/10,002.90 = 2,285.60/x
  3. Step 3: Cross multiply
    6,667.70x = 10,002.90 × 2,285.60
  4. Step 4: Simplify right side
    6,667.70x = 22,862,628.24
  5. Step 5: Solve for x
    x = 22,862,628.24/6,667.70
  6. Step 6: Final answer
    x = 3,428.86

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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.