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Finding the Fourth Proportional to 12,098.58, 18,149.02 and 4,703.61

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Solution

The fourth proportional to 12,098.58, 18,149.02 and 4,703.61 is: 7,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.58 : 18,149.02 = 4,703.61 : x
  2. Step 2: Convert to fraction form
    12,098.58/18,149.02 = 4,703.61/x
  3. Step 3: Cross multiply
    12,098.58x = 18,149.02 × 4,703.61
  4. Step 4: Simplify right side
    12,098.58x = 85,365,911.96
  5. Step 5: Solve for x
    x = 85,365,911.96/12,098.58
  6. Step 6: Final answer
    x = 7,055.86

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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.