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Finding the Fourth Proportional to 9,452.68, 14,179.02 and 2,527

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Solution

The fourth proportional to 9,452.68, 14,179.02 and 2,527 is: 3,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.68 : 14,179.02 = 2,527 : x
  2. Step 2: Convert to fraction form
    9,452.68/14,179.02 = 2,527/x
  3. Step 3: Cross multiply
    9,452.68x = 14,179.02 × 2,527
  4. Step 4: Simplify right side
    9,452.68x = 35,830,383.54
  5. Step 5: Solve for x
    x = 35,830,383.54/9,452.68
  6. Step 6: Final answer
    x = 3,790.50

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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.