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Finding the Fourth Proportional to 10,732.16, 14,837.76 and 8,093.12

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Solution

The fourth proportional to 10,732.16, 14,837.76 and 8,093.12 is: 11,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.16 : 14,837.76 = 8,093.12 : x
  2. Step 2: Convert to fraction form
    10,732.16/14,837.76 = 8,093.12/x
  3. Step 3: Cross multiply
    10,732.16x = 14,837.76 × 8,093.12
  4. Step 4: Simplify right side
    10,732.16x = 120,083,772.21
  5. Step 5: Solve for x
    x = 120,083,772.21/10,732.16
  6. Step 6: Final answer
    x = 11,189.15

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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.