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Finding the Fourth Proportional to 37,997.16, 56,995.73 and 10,295.16

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Solution

The fourth proportional to 37,997.16, 56,995.73 and 10,295.16 is: 15,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,997.16 : 56,995.73 = 10,295.16 : x
  2. Step 2: Convert to fraction form
    37,997.16/56,995.73 = 10,295.16/x
  3. Step 3: Cross multiply
    37,997.16x = 56,995.73 × 10,295.16
  4. Step 4: Simplify right side
    37,997.16x = 586,780,185.40
  5. Step 5: Solve for x
    x = 586,780,185.40/37,997.16
  6. Step 6: Final answer
    x = 15,442.74

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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.