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Finding the Fourth Proportional to 25,190.77, 37,784.78 and 7,659.23

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Solution

The fourth proportional to 25,190.77, 37,784.78 and 7,659.23 is: 11,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190.77 : 37,784.78 = 7,659.23 : x
  2. Step 2: Convert to fraction form
    25,190.77/37,784.78 = 7,659.23/x
  3. Step 3: Cross multiply
    25,190.77x = 37,784.78 × 7,659.23
  4. Step 4: Simplify right side
    25,190.77x = 289,402,320.52
  5. Step 5: Solve for x
    x = 289,402,320.52/25,190.77
  6. Step 6: Final answer
    x = 11,488.43

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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.