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Finding the Fourth Proportional to 5,136.77, 7,667.99 and 4,513.99

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Solution

The fourth proportional to 5,136.77, 7,667.99 and 4,513.99 is: 6,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.77 : 7,667.99 = 4,513.99 : x
  2. Step 2: Convert to fraction form
    5,136.77/7,667.99 = 4,513.99/x
  3. Step 3: Cross multiply
    5,136.77x = 7,667.99 × 4,513.99
  4. Step 4: Simplify right side
    5,136.77x = 34,613,191.84
  5. Step 5: Solve for x
    x = 34,613,191.84/5,136.77
  6. Step 6: Final answer
    x = 6,738.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.