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Finding the Fourth Proportional to 5,671.50, 8,506.47 and 1,511.85

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Solution

The fourth proportional to 5,671.50, 8,506.47 and 1,511.85 is: 2,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.50 : 8,506.47 = 1,511.85 : x
  2. Step 2: Convert to fraction form
    5,671.50/8,506.47 = 1,511.85/x
  3. Step 3: Cross multiply
    5,671.50x = 8,506.47 × 1,511.85
  4. Step 4: Simplify right side
    5,671.50x = 12,860,506.67
  5. Step 5: Solve for x
    x = 12,860,506.67/5,671.50
  6. Step 6: Final answer
    x = 2,267.57

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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.