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Finding the Fourth Proportional to 25,931.75, 38,897.64 and 7,463.75

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Solution

The fourth proportional to 25,931.75, 38,897.64 and 7,463.75 is: 11,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.75 : 38,897.64 = 7,463.75 : x
  2. Step 2: Convert to fraction form
    25,931.75/38,897.64 = 7,463.75/x
  3. Step 3: Cross multiply
    25,931.75x = 38,897.64 × 7,463.75
  4. Step 4: Simplify right side
    25,931.75x = 290,322,260.55
  5. Step 5: Solve for x
    x = 290,322,260.55/25,931.75
  6. Step 6: Final answer
    x = 11,195.63

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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.