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Finding the Fourth Proportional to 20,714.46, 31,066.47 and 5,923.46

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Solution

The fourth proportional to 20,714.46, 31,066.47 and 5,923.46 is: 8,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.46 : 31,066.47 = 5,923.46 : x
  2. Step 2: Convert to fraction form
    20,714.46/31,066.47 = 5,923.46/x
  3. Step 3: Cross multiply
    20,714.46x = 31,066.47 × 5,923.46
  4. Step 4: Simplify right side
    20,714.46x = 184,020,837.05
  5. Step 5: Solve for x
    x = 184,020,837.05/20,714.46
  6. Step 6: Final answer
    x = 8,883.69

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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.