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Finding the Fourth Proportional to 18,577, 27,865.50 and 6,265

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Solution

The fourth proportional to 18,577, 27,865.50 and 6,265 is: 9,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577 : 27,865.50 = 6,265 : x
  2. Step 2: Convert to fraction form
    18,577/27,865.50 = 6,265/x
  3. Step 3: Cross multiply
    18,577x = 27,865.50 × 6,265
  4. Step 4: Simplify right side
    18,577x = 174,577,357.50
  5. Step 5: Solve for x
    x = 174,577,357.50/18,577
  6. Step 6: Final answer
    x = 9,397.50

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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.