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Finding the Fourth Proportional to 25,160.68, 37,738.14 and 7,633

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Solution

The fourth proportional to 25,160.68, 37,738.14 and 7,633 is: 11,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160.68 : 37,738.14 = 7,633 : x
  2. Step 2: Convert to fraction form
    25,160.68/37,738.14 = 7,633/x
  3. Step 3: Cross multiply
    25,160.68x = 37,738.14 × 7,633
  4. Step 4: Simplify right side
    25,160.68x = 288,055,222.62
  5. Step 5: Solve for x
    x = 288,055,222.62/25,160.68
  6. Step 6: Final answer
    x = 11,448.63

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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.