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Finding the Fourth Proportional to 8,557.70, 12,822.15 and 4,165.70

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Solution

The fourth proportional to 8,557.70, 12,822.15 and 4,165.70 is: 6,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.70 : 12,822.15 = 4,165.70 : x
  2. Step 2: Convert to fraction form
    8,557.70/12,822.15 = 4,165.70/x
  3. Step 3: Cross multiply
    8,557.70x = 12,822.15 × 4,165.70
  4. Step 4: Simplify right side
    8,557.70x = 53,413,230.26
  5. Step 5: Solve for x
    x = 53,413,230.26/8,557.70
  6. Step 6: Final answer
    x = 6,241.54

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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.