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Finding the Fourth Proportional to 24,665.88, 36,997.74 and 7,135.32

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Solution

The fourth proportional to 24,665.88, 36,997.74 and 7,135.32 is: 10,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.88 : 36,997.74 = 7,135.32 : x
  2. Step 2: Convert to fraction form
    24,665.88/36,997.74 = 7,135.32/x
  3. Step 3: Cross multiply
    24,665.88x = 36,997.74 × 7,135.32
  4. Step 4: Simplify right side
    24,665.88x = 263,990,714.18
  5. Step 5: Solve for x
    x = 263,990,714.18/24,665.88
  6. Step 6: Final answer
    x = 10,702.67

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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.