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Finding the Fourth Proportional to 10,797.67, 16,194.74 and 7,668.20

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Solution

The fourth proportional to 10,797.67, 16,194.74 and 7,668.20 is: 11,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.67 : 16,194.74 = 7,668.20 : x
  2. Step 2: Convert to fraction form
    10,797.67/16,194.74 = 7,668.20/x
  3. Step 3: Cross multiply
    10,797.67x = 16,194.74 × 7,668.20
  4. Step 4: Simplify right side
    10,797.67x = 124,184,507.41
  5. Step 5: Solve for x
    x = 124,184,507.41/10,797.67
  6. Step 6: Final answer
    x = 11,501.05

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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.