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Finding the Fourth Proportional to 5,283, 7,924.61 and 1,997.64

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Solution

The fourth proportional to 5,283, 7,924.61 and 1,997.64 is: 2,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283 : 7,924.61 = 1,997.64 : x
  2. Step 2: Convert to fraction form
    5,283/7,924.61 = 1,997.64/x
  3. Step 3: Cross multiply
    5,283x = 7,924.61 × 1,997.64
  4. Step 4: Simplify right side
    5,283x = 15,830,522.91
  5. Step 5: Solve for x
    x = 15,830,522.91/5,283
  6. Step 6: Final answer
    x = 2,996.50

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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.