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Finding the Fourth Proportional to 17,507.86, 26,261.82 and 5,195.86

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Solution

The fourth proportional to 17,507.86, 26,261.82 and 5,195.86 is: 7,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.86 : 26,261.82 = 5,195.86 : x
  2. Step 2: Convert to fraction form
    17,507.86/26,261.82 = 5,195.86/x
  3. Step 3: Cross multiply
    17,507.86x = 26,261.82 × 5,195.86
  4. Step 4: Simplify right side
    17,507.86x = 136,452,740.07
  5. Step 5: Solve for x
    x = 136,452,740.07/17,507.86
  6. Step 6: Final answer
    x = 7,793.80

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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.