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Finding the Fourth Proportional to 5,923.84, 8,873.12 and 4,066.24

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Solution

The fourth proportional to 5,923.84, 8,873.12 and 4,066.24 is: 6,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.84 : 8,873.12 = 4,066.24 : x
  2. Step 2: Convert to fraction form
    5,923.84/8,873.12 = 4,066.24/x
  3. Step 3: Cross multiply
    5,923.84x = 8,873.12 × 4,066.24
  4. Step 4: Simplify right side
    5,923.84x = 36,080,235.47
  5. Step 5: Solve for x
    x = 36,080,235.47/5,923.84
  6. Step 6: Final answer
    x = 6,090.68

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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.