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Finding the Fourth Proportional to 9,997.64, 14,995.92 and 3,072.16

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Solution

The fourth proportional to 9,997.64, 14,995.92 and 3,072.16 is: 4,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.64 : 14,995.92 = 3,072.16 : x
  2. Step 2: Convert to fraction form
    9,997.64/14,995.92 = 3,072.16/x
  3. Step 3: Cross multiply
    9,997.64x = 14,995.92 × 3,072.16
  4. Step 4: Simplify right side
    9,997.64x = 46,069,865.59
  5. Step 5: Solve for x
    x = 46,069,865.59/9,997.64
  6. Step 6: Final answer
    x = 4,608.07

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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.