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Finding the Fourth Proportional to 4,676.60, 7,014.90 and 4,302.20

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Solution

The fourth proportional to 4,676.60, 7,014.90 and 4,302.20 is: 6,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.60 : 7,014.90 = 4,302.20 : x
  2. Step 2: Convert to fraction form
    4,676.60/7,014.90 = 4,302.20/x
  3. Step 3: Cross multiply
    4,676.60x = 7,014.90 × 4,302.20
  4. Step 4: Simplify right side
    4,676.60x = 30,179,502.78
  5. Step 5: Solve for x
    x = 30,179,502.78/4,676.60
  6. Step 6: Final answer
    x = 6,453.30

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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.