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Finding the Fourth Proportional to 10,959.91, 15,092.87 and 9,523.64

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Solution

The fourth proportional to 10,959.91, 15,092.87 and 9,523.64 is: 13,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.91 : 15,092.87 = 9,523.64 : x
  2. Step 2: Convert to fraction form
    10,959.91/15,092.87 = 9,523.64/x
  3. Step 3: Cross multiply
    10,959.91x = 15,092.87 × 9,523.64
  4. Step 4: Simplify right side
    10,959.91x = 143,739,050.56
  5. Step 5: Solve for x
    x = 143,739,050.56/10,959.91
  6. Step 6: Final answer
    x = 13,114.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.