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Finding the Fourth Proportional to 6,905.88, 10,359.88 and 2,522.30

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Solution

The fourth proportional to 6,905.88, 10,359.88 and 2,522.30 is: 3,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.88 : 10,359.88 = 2,522.30 : x
  2. Step 2: Convert to fraction form
    6,905.88/10,359.88 = 2,522.30/x
  3. Step 3: Cross multiply
    6,905.88x = 10,359.88 × 2,522.30
  4. Step 4: Simplify right side
    6,905.88x = 26,130,667.22
  5. Step 5: Solve for x
    x = 26,130,667.22/6,905.88
  6. Step 6: Final answer
    x = 3,783.83

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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.