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Finding the Fourth Proportional to 25,177.02, 37,765.65 and 7,647

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Solution

The fourth proportional to 25,177.02, 37,765.65 and 7,647 is: 11,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.02 : 37,765.65 = 7,647 : x
  2. Step 2: Convert to fraction form
    25,177.02/37,765.65 = 7,647/x
  3. Step 3: Cross multiply
    25,177.02x = 37,765.65 × 7,647
  4. Step 4: Simplify right side
    25,177.02x = 288,793,925.55
  5. Step 5: Solve for x
    x = 288,793,925.55/25,177.02
  6. Step 6: Final answer
    x = 11,470.54

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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.