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Finding the Fourth Proportional to 6,892.34, 10,333.42 and 2,209.64

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Solution

The fourth proportional to 6,892.34, 10,333.42 and 2,209.64 is: 3,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.34 : 10,333.42 = 2,209.64 : x
  2. Step 2: Convert to fraction form
    6,892.34/10,333.42 = 2,209.64/x
  3. Step 3: Cross multiply
    6,892.34x = 10,333.42 × 2,209.64
  4. Step 4: Simplify right side
    6,892.34x = 22,833,080.98
  5. Step 5: Solve for x
    x = 22,833,080.98/6,892.34
  6. Step 6: Final answer
    x = 3,312.82

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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.