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Finding the Fourth Proportional to 25,365.54, 38,049.98 and 6,646.03

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Solution

The fourth proportional to 25,365.54, 38,049.98 and 6,646.03 is: 9,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365.54 : 38,049.98 = 6,646.03 : x
  2. Step 2: Convert to fraction form
    25,365.54/38,049.98 = 6,646.03/x
  3. Step 3: Cross multiply
    25,365.54x = 38,049.98 × 6,646.03
  4. Step 4: Simplify right side
    25,365.54x = 252,881,431.64
  5. Step 5: Solve for x
    x = 252,881,431.64/25,365.54
  6. Step 6: Final answer
    x = 9,969.49

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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.