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Finding the Fourth Proportional to 11,658.90, 16,089.30 and 6,353.58

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Solution

The fourth proportional to 11,658.90, 16,089.30 and 6,353.58 is: 8,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.90 : 16,089.30 = 6,353.58 : x
  2. Step 2: Convert to fraction form
    11,658.90/16,089.30 = 6,353.58/x
  3. Step 3: Cross multiply
    11,658.90x = 16,089.30 × 6,353.58
  4. Step 4: Simplify right side
    11,658.90x = 102,224,654.69
  5. Step 5: Solve for x
    x = 102,224,654.69/11,658.90
  6. Step 6: Final answer
    x = 8,767.95

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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.