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Finding the Fourth Proportional to 9,711.70, 14,555.67 and 6,586.90

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Solution

The fourth proportional to 9,711.70, 14,555.67 and 6,586.90 is: 9,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.70 : 14,555.67 = 6,586.90 : x
  2. Step 2: Convert to fraction form
    9,711.70/14,555.67 = 6,586.90/x
  3. Step 3: Cross multiply
    9,711.70x = 14,555.67 × 6,586.90
  4. Step 4: Simplify right side
    9,711.70x = 95,876,742.72
  5. Step 5: Solve for x
    x = 95,876,742.72/9,711.70
  6. Step 6: Final answer
    x = 9,872.29

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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.