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Finding the Fourth Proportional to 9,601.76, 13,254.25 and 8,252.03

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Solution

The fourth proportional to 9,601.76, 13,254.25 and 8,252.03 is: 11,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.76 : 13,254.25 = 8,252.03 : x
  2. Step 2: Convert to fraction form
    9,601.76/13,254.25 = 8,252.03/x
  3. Step 3: Cross multiply
    9,601.76x = 13,254.25 × 8,252.03
  4. Step 4: Simplify right side
    9,601.76x = 109,374,468.63
  5. Step 5: Solve for x
    x = 109,374,468.63/9,601.76
  6. Step 6: Final answer
    x = 11,391.09

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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.