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Finding the Fourth Proportional to 25,173.68, 37,758.07 and 7,643.66

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Solution

The fourth proportional to 25,173.68, 37,758.07 and 7,643.66 is: 11,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,173.68 : 37,758.07 = 7,643.66 : x
  2. Step 2: Convert to fraction form
    25,173.68/37,758.07 = 7,643.66/x
  3. Step 3: Cross multiply
    25,173.68x = 37,758.07 × 7,643.66
  4. Step 4: Simplify right side
    25,173.68x = 288,609,622.33
  5. Step 5: Solve for x
    x = 288,609,622.33/25,173.68
  6. Step 6: Final answer
    x = 11,464.74

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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.