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Finding the Fourth Proportional to 25,733.76, 38,600.64 and 7,265.76

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Solution

The fourth proportional to 25,733.76, 38,600.64 and 7,265.76 is: 10,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733.76 : 38,600.64 = 7,265.76 : x
  2. Step 2: Convert to fraction form
    25,733.76/38,600.64 = 7,265.76/x
  3. Step 3: Cross multiply
    25,733.76x = 38,600.64 × 7,265.76
  4. Step 4: Simplify right side
    25,733.76x = 280,462,986.09
  5. Step 5: Solve for x
    x = 280,462,986.09/25,733.76
  6. Step 6: Final answer
    x = 10,898.64

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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.