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Finding the Fourth Proportional to 27,136.92, 40,707.96 and 8,417.16

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Solution

The fourth proportional to 27,136.92, 40,707.96 and 8,417.16 is: 12,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.92 : 40,707.96 = 8,417.16 : x
  2. Step 2: Convert to fraction form
    27,136.92/40,707.96 = 8,417.16/x
  3. Step 3: Cross multiply
    27,136.92x = 40,707.96 × 8,417.16
  4. Step 4: Simplify right side
    27,136.92x = 342,645,412.59
  5. Step 5: Solve for x
    x = 342,645,412.59/27,136.92
  6. Step 6: Final answer
    x = 12,626.54

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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.