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Finding the Fourth Proportional to 4,676.02, 6,454.02 and 2,813.02

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Solution

The fourth proportional to 4,676.02, 6,454.02 and 2,813.02 is: 3,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.02 : 6,454.02 = 2,813.02 : x
  2. Step 2: Convert to fraction form
    4,676.02/6,454.02 = 2,813.02/x
  3. Step 3: Cross multiply
    4,676.02x = 6,454.02 × 2,813.02
  4. Step 4: Simplify right side
    4,676.02x = 18,155,287.34
  5. Step 5: Solve for x
    x = 18,155,287.34/4,676.02
  6. Step 6: Final answer
    x = 3,882.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.