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Finding the Fourth Proportional to 10,661.44, 16,009.20 and 6,282.40

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Solution

The fourth proportional to 10,661.44, 16,009.20 and 6,282.40 is: 9,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.44 : 16,009.20 = 6,282.40 : x
  2. Step 2: Convert to fraction form
    10,661.44/16,009.20 = 6,282.40/x
  3. Step 3: Cross multiply
    10,661.44x = 16,009.20 × 6,282.40
  4. Step 4: Simplify right side
    10,661.44x = 100,576,198.08
  5. Step 5: Solve for x
    x = 100,576,198.08/10,661.44
  6. Step 6: Final answer
    x = 9,433.64

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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.