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Finding the Fourth Proportional to 8,507.70, 12,767.58 and 6,309.72

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Solution

The fourth proportional to 8,507.70, 12,767.58 and 6,309.72 is: 9,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.70 : 12,767.58 = 6,309.72 : x
  2. Step 2: Convert to fraction form
    8,507.70/12,767.58 = 6,309.72/x
  3. Step 3: Cross multiply
    8,507.70x = 12,767.58 × 6,309.72
  4. Step 4: Simplify right side
    8,507.70x = 80,559,854.88
  5. Step 5: Solve for x
    x = 80,559,854.88/8,507.70
  6. Step 6: Final answer
    x = 9,469.05

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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.