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Finding the Fourth Proportional to 12,551.48, 17,322 and 6,962.48

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Solution

The fourth proportional to 12,551.48, 17,322 and 6,962.48 is: 9,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.48 : 17,322 = 6,962.48 : x
  2. Step 2: Convert to fraction form
    12,551.48/17,322 = 6,962.48/x
  3. Step 3: Cross multiply
    12,551.48x = 17,322 × 6,962.48
  4. Step 4: Simplify right side
    12,551.48x = 120,604,078.56
  5. Step 5: Solve for x
    x = 120,604,078.56/12,551.48
  6. Step 6: Final answer
    x = 9,608.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.