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Finding the Fourth Proportional to 12,697.24, 17,525.11 and 8,448.48

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Solution

The fourth proportional to 12,697.24, 17,525.11 and 8,448.48 is: 11,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.24 : 17,525.11 = 8,448.48 : x
  2. Step 2: Convert to fraction form
    12,697.24/17,525.11 = 8,448.48/x
  3. Step 3: Cross multiply
    12,697.24x = 17,525.11 × 8,448.48
  4. Step 4: Simplify right side
    12,697.24x = 148,060,475.77
  5. Step 5: Solve for x
    x = 148,060,475.77/12,697.24
  6. Step 6: Final answer
    x = 11,660.84

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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.