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Finding the Fourth Proportional to 9,960.40, 14,908.20 and 9,182.80

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Solution

The fourth proportional to 9,960.40, 14,908.20 and 9,182.80 is: 13,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.40 : 14,908.20 = 9,182.80 : x
  2. Step 2: Convert to fraction form
    9,960.40/14,908.20 = 9,182.80/x
  3. Step 3: Cross multiply
    9,960.40x = 14,908.20 × 9,182.80
  4. Step 4: Simplify right side
    9,960.40x = 136,899,018.96
  5. Step 5: Solve for x
    x = 136,899,018.96/9,960.40
  6. Step 6: Final answer
    x = 13,744.33

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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.