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Finding the Fourth Proportional to 4,676.40, 7,014.04 and 1,213.52

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Solution

The fourth proportional to 4,676.40, 7,014.04 and 1,213.52 is: 1,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.40 : 7,014.04 = 1,213.52 : x
  2. Step 2: Convert to fraction form
    4,676.40/7,014.04 = 1,213.52/x
  3. Step 3: Cross multiply
    4,676.40x = 7,014.04 × 1,213.52
  4. Step 4: Simplify right side
    4,676.40x = 8,511,677.82
  5. Step 5: Solve for x
    x = 8,511,677.82/4,676.40
  6. Step 6: Final answer
    x = 1,820.13

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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.