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Finding the Fourth Proportional to 18,013.84, 27,021 and 6,327.16

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Solution

The fourth proportional to 18,013.84, 27,021 and 6,327.16 is: 9,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013.84 : 27,021 = 6,327.16 : x
  2. Step 2: Convert to fraction form
    18,013.84/27,021 = 6,327.16/x
  3. Step 3: Cross multiply
    18,013.84x = 27,021 × 6,327.16
  4. Step 4: Simplify right side
    18,013.84x = 170,966,190.36
  5. Step 5: Solve for x
    x = 170,966,190.36/18,013.84
  6. Step 6: Final answer
    x = 9,490.82

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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.