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Finding the Fourth Proportional to 6,444.24, 8,892.96 and 3,927.24

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Solution

The fourth proportional to 6,444.24, 8,892.96 and 3,927.24 is: 5,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.24 : 8,892.96 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,444.24/8,892.96 = 3,927.24/x
  3. Step 3: Cross multiply
    6,444.24x = 8,892.96 × 3,927.24
  4. Step 4: Simplify right side
    6,444.24x = 34,924,788.23
  5. Step 5: Solve for x
    x = 34,924,788.23/6,444.24
  6. Step 6: Final answer
    x = 5,419.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.