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Finding the Fourth Proportional to 9,523.52, 14,272.68 and 6,899.84

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Solution

The fourth proportional to 9,523.52, 14,272.68 and 6,899.84 is: 10,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.52 : 14,272.68 = 6,899.84 : x
  2. Step 2: Convert to fraction form
    9,523.52/14,272.68 = 6,899.84/x
  3. Step 3: Cross multiply
    9,523.52x = 14,272.68 × 6,899.84
  4. Step 4: Simplify right side
    9,523.52x = 98,479,208.37
  5. Step 5: Solve for x
    x = 98,479,208.37/9,523.52
  6. Step 6: Final answer
    x = 10,340.63

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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.