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Finding the Fourth Proportional to 6,586.70, 9,869.07 and 4,634.80

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Solution

The fourth proportional to 6,586.70, 9,869.07 and 4,634.80 is: 6,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.70 : 9,869.07 = 4,634.80 : x
  2. Step 2: Convert to fraction form
    6,586.70/9,869.07 = 4,634.80/x
  3. Step 3: Cross multiply
    6,586.70x = 9,869.07 × 4,634.80
  4. Step 4: Simplify right side
    6,586.70x = 45,741,158.34
  5. Step 5: Solve for x
    x = 45,741,158.34/6,586.70
  6. Step 6: Final answer
    x = 6,944.48

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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.