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Finding the Fourth Proportional to 6,360, 9,542.88 and 3,072.48

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Solution

The fourth proportional to 6,360, 9,542.88 and 3,072.48 is: 4,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360 : 9,542.88 = 3,072.48 : x
  2. Step 2: Convert to fraction form
    6,360/9,542.88 = 3,072.48/x
  3. Step 3: Cross multiply
    6,360x = 9,542.88 × 3,072.48
  4. Step 4: Simplify right side
    6,360x = 29,320,307.94
  5. Step 5: Solve for x
    x = 29,320,307.94/6,360
  6. Step 6: Final answer
    x = 4,610.11

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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.