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Finding the Fourth Proportional to 25,205.57, 37,805.47 and 6,739.01

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Solution

The fourth proportional to 25,205.57, 37,805.47 and 6,739.01 is: 10,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.57 : 37,805.47 = 6,739.01 : x
  2. Step 2: Convert to fraction form
    25,205.57/37,805.47 = 6,739.01/x
  3. Step 3: Cross multiply
    25,205.57x = 37,805.47 × 6,739.01
  4. Step 4: Simplify right side
    25,205.57x = 254,771,234.51
  5. Step 5: Solve for x
    x = 254,771,234.51/25,205.57
  6. Step 6: Final answer
    x = 10,107.74

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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.