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Finding the Fourth Proportional to 6,360, 9,533.92 and 2,463.52

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Solution

The fourth proportional to 6,360, 9,533.92 and 2,463.52 is: 3,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360 : 9,533.92 = 2,463.52 : x
  2. Step 2: Convert to fraction form
    6,360/9,533.92 = 2,463.52/x
  3. Step 3: Cross multiply
    6,360x = 9,533.92 × 2,463.52
  4. Step 4: Simplify right side
    6,360x = 23,487,002.60
  5. Step 5: Solve for x
    x = 23,487,002.60/6,360
  6. Step 6: Final answer
    x = 3,692.92

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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.