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Finding the Fourth Proportional to 6,399.82, 9,602.82 and 2,892.32

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Solution

The fourth proportional to 6,399.82, 9,602.82 and 2,892.32 is: 4,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.82 : 9,602.82 = 2,892.32 : x
  2. Step 2: Convert to fraction form
    6,399.82/9,602.82 = 2,892.32/x
  3. Step 3: Cross multiply
    6,399.82x = 9,602.82 × 2,892.32
  4. Step 4: Simplify right side
    6,399.82x = 27,774,428.34
  5. Step 5: Solve for x
    x = 27,774,428.34/6,399.82
  6. Step 6: Final answer
    x = 4,339.88

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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.