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Finding the Fourth Proportional to 9,548.68, 14,324.94 and 2,974.60

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Solution

The fourth proportional to 9,548.68, 14,324.94 and 2,974.60 is: 4,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.68 : 14,324.94 = 2,974.60 : x
  2. Step 2: Convert to fraction form
    9,548.68/14,324.94 = 2,974.60/x
  3. Step 3: Cross multiply
    9,548.68x = 14,324.94 × 2,974.60
  4. Step 4: Simplify right side
    9,548.68x = 42,610,966.52
  5. Step 5: Solve for x
    x = 42,610,966.52/9,548.68
  6. Step 6: Final answer
    x = 4,462.50

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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.