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Finding the Fourth Proportional to 11,465.99, 17,218.08 and 7,741.78

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Solution

The fourth proportional to 11,465.99, 17,218.08 and 7,741.78 is: 11,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.99 : 17,218.08 = 7,741.78 : x
  2. Step 2: Convert to fraction form
    11,465.99/17,218.08 = 7,741.78/x
  3. Step 3: Cross multiply
    11,465.99x = 17,218.08 × 7,741.78
  4. Step 4: Simplify right side
    11,465.99x = 133,298,587.38
  5. Step 5: Solve for x
    x = 133,298,587.38/11,465.99
  6. Step 6: Final answer
    x = 11,625.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.