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Finding the Fourth Proportional to 12,658.37, 17,465.10 and 8,680.46

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Solution

The fourth proportional to 12,658.37, 17,465.10 and 8,680.46 is: 11,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.37 : 17,465.10 = 8,680.46 : x
  2. Step 2: Convert to fraction form
    12,658.37/17,465.10 = 8,680.46/x
  3. Step 3: Cross multiply
    12,658.37x = 17,465.10 × 8,680.46
  4. Step 4: Simplify right side
    12,658.37x = 151,605,101.95
  5. Step 5: Solve for x
    x = 151,605,101.95/12,658.37
  6. Step 6: Final answer
    x = 11,976.67

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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.