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Finding the Fourth Proportional to 11,092.93, 15,309.93 and 6,788.49

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Solution

The fourth proportional to 11,092.93, 15,309.93 and 6,788.49 is: 9,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.93 : 15,309.93 = 6,788.49 : x
  2. Step 2: Convert to fraction form
    11,092.93/15,309.93 = 6,788.49/x
  3. Step 3: Cross multiply
    11,092.93x = 15,309.93 × 6,788.49
  4. Step 4: Simplify right side
    11,092.93x = 103,931,322.68
  5. Step 5: Solve for x
    x = 103,931,322.68/11,092.93
  6. Step 6: Final answer
    x = 9,369.15

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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.