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Finding the Fourth Proportional to 11,510.70, 17,266.05 and 8,205.90

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Solution

The fourth proportional to 11,510.70, 17,266.05 and 8,205.90 is: 12,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.70 : 17,266.05 = 8,205.90 : x
  2. Step 2: Convert to fraction form
    11,510.70/17,266.05 = 8,205.90/x
  3. Step 3: Cross multiply
    11,510.70x = 17,266.05 × 8,205.90
  4. Step 4: Simplify right side
    11,510.70x = 141,683,479.70
  5. Step 5: Solve for x
    x = 141,683,479.70/11,510.70
  6. Step 6: Final answer
    x = 12,308.85

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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.