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Finding the Fourth Proportional to 12,021.56, 16,591.74 and 7,549.16

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Solution

The fourth proportional to 12,021.56, 16,591.74 and 7,549.16 is: 10,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.56 : 16,591.74 = 7,549.16 : x
  2. Step 2: Convert to fraction form
    12,021.56/16,591.74 = 7,549.16/x
  3. Step 3: Cross multiply
    12,021.56x = 16,591.74 × 7,549.16
  4. Step 4: Simplify right side
    12,021.56x = 125,253,699.94
  5. Step 5: Solve for x
    x = 125,253,699.94/12,021.56
  6. Step 6: Final answer
    x = 10,419.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.