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Finding the Fourth Proportional to 12,092.60, 16,678.16 and 9,993.08

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Solution

The fourth proportional to 12,092.60, 16,678.16 and 9,993.08 is: 13,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.60 : 16,678.16 = 9,993.08 : x
  2. Step 2: Convert to fraction form
    12,092.60/16,678.16 = 9,993.08/x
  3. Step 3: Cross multiply
    12,092.60x = 16,678.16 × 9,993.08
  4. Step 4: Simplify right side
    12,092.60x = 166,666,187.13
  5. Step 5: Solve for x
    x = 166,666,187.13/12,092.60
  6. Step 6: Final answer
    x = 13,782.49

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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.