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Finding the Fourth Proportional to 11,817.82, 16,302.36 and 7,034.37

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Solution

The fourth proportional to 11,817.82, 16,302.36 and 7,034.37 is: 9,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.82 : 16,302.36 = 7,034.37 : x
  2. Step 2: Convert to fraction form
    11,817.82/16,302.36 = 7,034.37/x
  3. Step 3: Cross multiply
    11,817.82x = 16,302.36 × 7,034.37
  4. Step 4: Simplify right side
    11,817.82x = 114,676,832.11
  5. Step 5: Solve for x
    x = 114,676,832.11/11,817.82
  6. Step 6: Final answer
    x = 9,703.72

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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.