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Finding the Fourth Proportional to 6,335.84, 9,489.44 and 3,051.36

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Solution

The fourth proportional to 6,335.84, 9,489.44 and 3,051.36 is: 4,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.84 : 9,489.44 = 3,051.36 : x
  2. Step 2: Convert to fraction form
    6,335.84/9,489.44 = 3,051.36/x
  3. Step 3: Cross multiply
    6,335.84x = 9,489.44 × 3,051.36
  4. Step 4: Simplify right side
    6,335.84x = 28,955,697.64
  5. Step 5: Solve for x
    x = 28,955,697.64/6,335.84
  6. Step 6: Final answer
    x = 4,570.14

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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.