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Finding the Fourth Proportional to 7,687.96, 10,609.14 and 4,703.80

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Solution

The fourth proportional to 7,687.96, 10,609.14 and 4,703.80 is: 6,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.96 : 10,609.14 = 4,703.80 : x
  2. Step 2: Convert to fraction form
    7,687.96/10,609.14 = 4,703.80/x
  3. Step 3: Cross multiply
    7,687.96x = 10,609.14 × 4,703.80
  4. Step 4: Simplify right side
    7,687.96x = 49,903,272.73
  5. Step 5: Solve for x
    x = 49,903,272.73/7,687.96
  6. Step 6: Final answer
    x = 6,491.09

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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.