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Finding the Fourth Proportional to 6,457.60, 9,684.72 and 2,072.80

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Solution

The fourth proportional to 6,457.60, 9,684.72 and 2,072.80 is: 3,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.60 : 9,684.72 = 2,072.80 : x
  2. Step 2: Convert to fraction form
    6,457.60/9,684.72 = 2,072.80/x
  3. Step 3: Cross multiply
    6,457.60x = 9,684.72 × 2,072.80
  4. Step 4: Simplify right side
    6,457.60x = 20,074,487.62
  5. Step 5: Solve for x
    x = 20,074,487.62/6,457.60
  6. Step 6: Final answer
    x = 3,108.66

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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.