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Finding the Fourth Proportional to 6,513.66, 9,770.52 and 2,071.80

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Solution

The fourth proportional to 6,513.66, 9,770.52 and 2,071.80 is: 3,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.66 : 9,770.52 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    6,513.66/9,770.52 = 2,071.80/x
  3. Step 3: Cross multiply
    6,513.66x = 9,770.52 × 2,071.80
  4. Step 4: Simplify right side
    6,513.66x = 20,242,563.34
  5. Step 5: Solve for x
    x = 20,242,563.34/6,513.66
  6. Step 6: Final answer
    x = 3,107.71

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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.