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Finding the Fourth Proportional to 25,294.86, 37,943.38 and 7,765.38

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Solution

The fourth proportional to 25,294.86, 37,943.38 and 7,765.38 is: 11,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.86 : 37,943.38 = 7,765.38 : x
  2. Step 2: Convert to fraction form
    25,294.86/37,943.38 = 7,765.38/x
  3. Step 3: Cross multiply
    25,294.86x = 37,943.38 × 7,765.38
  4. Step 4: Simplify right side
    25,294.86x = 294,644,725.36
  5. Step 5: Solve for x
    x = 294,644,725.36/25,294.86
  6. Step 6: Final answer
    x = 11,648.40

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1.5x scale

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.