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Finding the Fourth Proportional to 6,503.50, 8,971.05 and 6,066.10

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Solution

The fourth proportional to 6,503.50, 8,971.05 and 6,066.10 is: 8,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.50 : 8,971.05 = 6,066.10 : x
  2. Step 2: Convert to fraction form
    6,503.50/8,971.05 = 6,066.10/x
  3. Step 3: Cross multiply
    6,503.50x = 8,971.05 × 6,066.10
  4. Step 4: Simplify right side
    6,503.50x = 54,419,286.41
  5. Step 5: Solve for x
    x = 54,419,286.41/6,503.50
  6. Step 6: Final answer
    x = 8,367.69

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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.