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Finding the Fourth Proportional to 9,591.21, 14,388.64 and 3,019.28

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Solution

The fourth proportional to 9,591.21, 14,388.64 and 3,019.28 is: 4,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.21 : 14,388.64 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    9,591.21/14,388.64 = 3,019.28/x
  3. Step 3: Cross multiply
    9,591.21x = 14,388.64 × 3,019.28
  4. Step 4: Simplify right side
    9,591.21x = 43,443,253.49
  5. Step 5: Solve for x
    x = 43,443,253.49/9,591.21
  6. Step 6: Final answer
    x = 4,529.49

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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.