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Finding the Fourth Proportional to 16,534.13, 22,817.09 and 9,082.13

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Solution

The fourth proportional to 16,534.13, 22,817.09 and 9,082.13 is: 12,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.13 : 22,817.09 = 9,082.13 : x
  2. Step 2: Convert to fraction form
    16,534.13/22,817.09 = 9,082.13/x
  3. Step 3: Cross multiply
    16,534.13x = 22,817.09 × 9,082.13
  4. Step 4: Simplify right side
    16,534.13x = 207,227,686.22
  5. Step 5: Solve for x
    x = 207,227,686.22/16,534.13
  6. Step 6: Final answer
    x = 12,533.33

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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.