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Finding the Fourth Proportional to 10,343.25, 14,269.25 and 8,096.11

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Solution

The fourth proportional to 10,343.25, 14,269.25 and 8,096.11 is: 11,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.25 : 14,269.25 = 8,096.11 : x
  2. Step 2: Convert to fraction form
    10,343.25/14,269.25 = 8,096.11/x
  3. Step 3: Cross multiply
    10,343.25x = 14,269.25 × 8,096.11
  4. Step 4: Simplify right side
    10,343.25x = 115,525,402.18
  5. Step 5: Solve for x
    x = 115,525,402.18/10,343.25
  6. Step 6: Final answer
    x = 11,169.16

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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.