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Finding the Fourth Proportional to 16,137.44, 22,271.04 and 9,064.64

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Solution

The fourth proportional to 16,137.44, 22,271.04 and 9,064.64 is: 12,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.44 : 22,271.04 = 9,064.64 : x
  2. Step 2: Convert to fraction form
    16,137.44/22,271.04 = 9,064.64/x
  3. Step 3: Cross multiply
    16,137.44x = 22,271.04 × 9,064.64
  4. Step 4: Simplify right side
    16,137.44x = 201,878,960.03
  5. Step 5: Solve for x
    x = 201,878,960.03/16,137.44
  6. Step 6: Final answer
    x = 12,509.97

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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.