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Finding the Fourth Proportional to 6,352.40, 9,516 and 4,237.52

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Solution

The fourth proportional to 6,352.40, 9,516 and 4,237.52 is: 6,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.40 : 9,516 = 4,237.52 : x
  2. Step 2: Convert to fraction form
    6,352.40/9,516 = 4,237.52/x
  3. Step 3: Cross multiply
    6,352.40x = 9,516 × 4,237.52
  4. Step 4: Simplify right side
    6,352.40x = 40,324,240.32
  5. Step 5: Solve for x
    x = 40,324,240.32/6,352.40
  6. Step 6: Final answer
    x = 6,347.87

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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.