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Finding the Fourth Proportional to 25,101.66, 37,652.75 and 7,571.64

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Solution

The fourth proportional to 25,101.66, 37,652.75 and 7,571.64 is: 11,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.66 : 37,652.75 = 7,571.64 : x
  2. Step 2: Convert to fraction form
    25,101.66/37,652.75 = 7,571.64/x
  3. Step 3: Cross multiply
    25,101.66x = 37,652.75 × 7,571.64
  4. Step 4: Simplify right side
    25,101.66x = 285,093,068.01
  5. Step 5: Solve for x
    x = 285,093,068.01/25,101.66
  6. Step 6: Final answer
    x = 11,357.54

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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.