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Finding the Fourth Proportional to 11,952.80, 17,960.88 and 6,410.24

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Solution

The fourth proportional to 11,952.80, 17,960.88 and 6,410.24 is: 9,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.80 : 17,960.88 = 6,410.24 : x
  2. Step 2: Convert to fraction form
    11,952.80/17,960.88 = 6,410.24/x
  3. Step 3: Cross multiply
    11,952.80x = 17,960.88 × 6,410.24
  4. Step 4: Simplify right side
    11,952.80x = 115,133,551.41
  5. Step 5: Solve for x
    x = 115,133,551.41/11,952.80
  6. Step 6: Final answer
    x = 9,632.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.