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Finding the Fourth Proportional to 16,765.16, 23,136.42 and 9,313

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Solution

The fourth proportional to 16,765.16, 23,136.42 and 9,313 is: 12,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.16 : 23,136.42 = 9,313 : x
  2. Step 2: Convert to fraction form
    16,765.16/23,136.42 = 9,313/x
  3. Step 3: Cross multiply
    16,765.16x = 23,136.42 × 9,313
  4. Step 4: Simplify right side
    16,765.16x = 215,469,479.46
  5. Step 5: Solve for x
    x = 215,469,479.46/16,765.16
  6. Step 6: Final answer
    x = 12,852.22

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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.