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Finding the Fourth Proportional to 25,204.93, 37,807.44 and 7,674.91

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Solution

The fourth proportional to 25,204.93, 37,807.44 and 7,674.91 is: 11,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.93 : 37,807.44 = 7,674.91 : x
  2. Step 2: Convert to fraction form
    25,204.93/37,807.44 = 7,674.91/x
  3. Step 3: Cross multiply
    25,204.93x = 37,807.44 × 7,674.91
  4. Step 4: Simplify right side
    25,204.93x = 290,168,699.33
  5. Step 5: Solve for x
    x = 290,168,699.33/25,204.93
  6. Step 6: Final answer
    x = 11,512.38

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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.