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Finding the Fourth Proportional to 25,536.50, 38,304.62 and 6,561.11

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Solution

The fourth proportional to 25,536.50, 38,304.62 and 6,561.11 is: 9,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.50 : 38,304.62 = 6,561.11 : x
  2. Step 2: Convert to fraction form
    25,536.50/38,304.62 = 6,561.11/x
  3. Step 3: Cross multiply
    25,536.50x = 38,304.62 × 6,561.11
  4. Step 4: Simplify right side
    25,536.50x = 251,320,888.28
  5. Step 5: Solve for x
    x = 251,320,888.28/25,536.50
  6. Step 6: Final answer
    x = 9,841.64

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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.