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Finding the Fourth Proportional to 27,526.50, 41,290.02 and 6,750

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Solution

The fourth proportional to 27,526.50, 41,290.02 and 6,750 is: 10,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526.50 : 41,290.02 = 6,750 : x
  2. Step 2: Convert to fraction form
    27,526.50/41,290.02 = 6,750/x
  3. Step 3: Cross multiply
    27,526.50x = 41,290.02 × 6,750
  4. Step 4: Simplify right side
    27,526.50x = 278,707,635
  5. Step 5: Solve for x
    x = 278,707,635/27,526.50
  6. Step 6: Final answer
    x = 10,125.07

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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.