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Finding the Fourth Proportional to 4,676.86, 7,013.46 and 1,753.57

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Solution

The fourth proportional to 4,676.86, 7,013.46 and 1,753.57 is: 2,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.86 : 7,013.46 = 1,753.57 : x
  2. Step 2: Convert to fraction form
    4,676.86/7,013.46 = 1,753.57/x
  3. Step 3: Cross multiply
    4,676.86x = 7,013.46 × 1,753.57
  4. Step 4: Simplify right side
    4,676.86x = 12,298,593.05
  5. Step 5: Solve for x
    x = 12,298,593.05/4,676.86
  6. Step 6: Final answer
    x = 2,629.67

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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.