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Finding the Fourth Proportional to 6,102.60, 8,308.50 and 6,083.70

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Solution

The fourth proportional to 6,102.60, 8,308.50 and 6,083.70 is: 8,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.60 : 8,308.50 = 6,083.70 : x
  2. Step 2: Convert to fraction form
    6,102.60/8,308.50 = 6,083.70/x
  3. Step 3: Cross multiply
    6,102.60x = 8,308.50 × 6,083.70
  4. Step 4: Simplify right side
    6,102.60x = 50,546,421.45
  5. Step 5: Solve for x
    x = 50,546,421.45/6,102.60
  6. Step 6: Final answer
    x = 8,282.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.