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Finding the Fourth Proportional to 11,658.81, 16,089 and 6,353.63

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Solution

The fourth proportional to 11,658.81, 16,089 and 6,353.63 is: 8,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.81 : 16,089 = 6,353.63 : x
  2. Step 2: Convert to fraction form
    11,658.81/16,089 = 6,353.63/x
  3. Step 3: Cross multiply
    11,658.81x = 16,089 × 6,353.63
  4. Step 4: Simplify right side
    11,658.81x = 102,223,553.07
  5. Step 5: Solve for x
    x = 102,223,553.07/11,658.81
  6. Step 6: Final answer
    x = 8,767.92

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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.