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Finding the Fourth Proportional to 9,410.80, 12,960.64 and 9,206.68

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Solution

The fourth proportional to 9,410.80, 12,960.64 and 9,206.68 is: 12,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.80 : 12,960.64 = 9,206.68 : x
  2. Step 2: Convert to fraction form
    9,410.80/12,960.64 = 9,206.68/x
  3. Step 3: Cross multiply
    9,410.80x = 12,960.64 × 9,206.68
  4. Step 4: Simplify right side
    9,410.80x = 119,324,465.08
  5. Step 5: Solve for x
    x = 119,324,465.08/9,410.80
  6. Step 6: Final answer
    x = 12,679.52

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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.