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Finding the Fourth Proportional to 9,523.44, 14,285 and 2,597.92

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Solution

The fourth proportional to 9,523.44, 14,285 and 2,597.92 is: 3,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.44 : 14,285 = 2,597.92 : x
  2. Step 2: Convert to fraction form
    9,523.44/14,285 = 2,597.92/x
  3. Step 3: Cross multiply
    9,523.44x = 14,285 × 2,597.92
  4. Step 4: Simplify right side
    9,523.44x = 37,111,287.20
  5. Step 5: Solve for x
    x = 37,111,287.20/9,523.44
  6. Step 6: Final answer
    x = 3,896.84

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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.