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Finding the Fourth Proportional to 11,658.49, 16,094.81 and 9,065.68

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Solution

The fourth proportional to 11,658.49, 16,094.81 and 9,065.68 is: 12,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.49 : 16,094.81 = 9,065.68 : x
  2. Step 2: Convert to fraction form
    11,658.49/16,094.81 = 9,065.68/x
  3. Step 3: Cross multiply
    11,658.49x = 16,094.81 × 9,065.68
  4. Step 4: Simplify right side
    11,658.49x = 145,910,397.12
  5. Step 5: Solve for x
    x = 145,910,397.12/11,658.49
  6. Step 6: Final answer
    x = 12,515.38

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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.