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Finding the Fourth Proportional to 6,428.40, 9,642.60 and 3,500.57

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Solution

The fourth proportional to 6,428.40, 9,642.60 and 3,500.57 is: 5,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.40 : 9,642.60 = 3,500.57 : x
  2. Step 2: Convert to fraction form
    6,428.40/9,642.60 = 3,500.57/x
  3. Step 3: Cross multiply
    6,428.40x = 9,642.60 × 3,500.57
  4. Step 4: Simplify right side
    6,428.40x = 33,754,548.07
  5. Step 5: Solve for x
    x = 33,754,548.07/6,428.40
  6. Step 6: Final answer
    x = 5,250.85

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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.