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Finding the Fourth Proportional to 8,098.74, 11,174.40 and 4,740.39

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Solution

The fourth proportional to 8,098.74, 11,174.40 and 4,740.39 is: 6,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.74 : 11,174.40 = 4,740.39 : x
  2. Step 2: Convert to fraction form
    8,098.74/11,174.40 = 4,740.39/x
  3. Step 3: Cross multiply
    8,098.74x = 11,174.40 × 4,740.39
  4. Step 4: Simplify right side
    8,098.74x = 52,971,014.02
  5. Step 5: Solve for x
    x = 52,971,014.02/8,098.74
  6. Step 6: Final answer
    x = 6,540.65

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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.