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Finding the Fourth Proportional to 18,265.01, 27,381.06 and 6,570

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Solution

The fourth proportional to 18,265.01, 27,381.06 and 6,570 is: 9,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265.01 : 27,381.06 = 6,570 : x
  2. Step 2: Convert to fraction form
    18,265.01/27,381.06 = 6,570/x
  3. Step 3: Cross multiply
    18,265.01x = 27,381.06 × 6,570
  4. Step 4: Simplify right side
    18,265.01x = 179,893,564.20
  5. Step 5: Solve for x
    x = 179,893,564.20/18,265.01
  6. Step 6: Final answer
    x = 9,849.08

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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.