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Finding the Fourth Proportional to 9,996.84, 14,989.50 and 4,157.64

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Solution

The fourth proportional to 9,996.84, 14,989.50 and 4,157.64 is: 6,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.84 : 14,989.50 = 4,157.64 : x
  2. Step 2: Convert to fraction form
    9,996.84/14,989.50 = 4,157.64/x
  3. Step 3: Cross multiply
    9,996.84x = 14,989.50 × 4,157.64
  4. Step 4: Simplify right side
    9,996.84x = 62,320,944.78
  5. Step 5: Solve for x
    x = 62,320,944.78/9,996.84
  6. Step 6: Final answer
    x = 6,234.06

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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.