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Finding the Fourth Proportional to 11,657.01, 17,468.51 and 5,805.57

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Solution

The fourth proportional to 11,657.01, 17,468.51 and 5,805.57 is: 8,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.01 : 17,468.51 = 5,805.57 : x
  2. Step 2: Convert to fraction form
    11,657.01/17,468.51 = 5,805.57/x
  3. Step 3: Cross multiply
    11,657.01x = 17,468.51 × 5,805.57
  4. Step 4: Simplify right side
    11,657.01x = 101,414,628.57
  5. Step 5: Solve for x
    x = 101,414,628.57/11,657.01
  6. Step 6: Final answer
    x = 8,699.88

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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.