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Finding the Fourth Proportional to 12,182.75, 16,812.24 and 6,593.75

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Solution

The fourth proportional to 12,182.75, 16,812.24 and 6,593.75 is: 9,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.75 : 16,812.24 = 6,593.75 : x
  2. Step 2: Convert to fraction form
    12,182.75/16,812.24 = 6,593.75/x
  3. Step 3: Cross multiply
    12,182.75x = 16,812.24 × 6,593.75
  4. Step 4: Simplify right side
    12,182.75x = 110,855,707.50
  5. Step 5: Solve for x
    x = 110,855,707.50/12,182.75
  6. Step 6: Final answer
    x = 9,099.40

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Double scale
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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.