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Finding the Fourth Proportional to 6,902.52, 10,353.90 and 2,285.64

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Solution

The fourth proportional to 6,902.52, 10,353.90 and 2,285.64 is: 3,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.52 : 10,353.90 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    6,902.52/10,353.90 = 2,285.64/x
  3. Step 3: Cross multiply
    6,902.52x = 10,353.90 × 2,285.64
  4. Step 4: Simplify right side
    6,902.52x = 23,665,288.00
  5. Step 5: Solve for x
    x = 23,665,288.00/6,902.52
  6. Step 6: Final answer
    x = 3,428.50

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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.