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Finding the Fourth Proportional to 11,813.34, 16,304.83 and 6,781.02

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Solution

The fourth proportional to 11,813.34, 16,304.83 and 6,781.02 is: 9,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.34 : 16,304.83 = 6,781.02 : x
  2. Step 2: Convert to fraction form
    11,813.34/16,304.83 = 6,781.02/x
  3. Step 3: Cross multiply
    11,813.34x = 16,304.83 × 6,781.02
  4. Step 4: Simplify right side
    11,813.34x = 110,563,300.23
  5. Step 5: Solve for x
    x = 110,563,300.23/11,813.34
  6. Step 6: Final answer
    x = 9,359.19

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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.