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Finding the Fourth Proportional to 10,792.30, 16,171.65 and 6,835.21

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Solution

The fourth proportional to 10,792.30, 16,171.65 and 6,835.21 is: 10,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.30 : 16,171.65 = 6,835.21 : x
  2. Step 2: Convert to fraction form
    10,792.30/16,171.65 = 6,835.21/x
  3. Step 3: Cross multiply
    10,792.30x = 16,171.65 × 6,835.21
  4. Step 4: Simplify right side
    10,792.30x = 110,536,623.80
  5. Step 5: Solve for x
    x = 110,536,623.80/10,792.30
  6. Step 6: Final answer
    x = 10,242.17

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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.