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Finding the Fourth Proportional to 25,295.92, 37,945.71 and 9,713.54

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Solution

The fourth proportional to 25,295.92, 37,945.71 and 9,713.54 is: 14,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.92 : 37,945.71 = 9,713.54 : x
  2. Step 2: Convert to fraction form
    25,295.92/37,945.71 = 9,713.54/x
  3. Step 3: Cross multiply
    25,295.92x = 37,945.71 × 9,713.54
  4. Step 4: Simplify right side
    25,295.92x = 368,587,266.78
  5. Step 5: Solve for x
    x = 368,587,266.78/25,295.92
  6. Step 6: Final answer
    x = 14,571.02

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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.