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Finding the Fourth Proportional to 4,676.04, 6,453 and 2,580.21

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Solution

The fourth proportional to 4,676.04, 6,453 and 2,580.21 is: 3,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.04 : 6,453 = 2,580.21 : x
  2. Step 2: Convert to fraction form
    4,676.04/6,453 = 2,580.21/x
  3. Step 3: Cross multiply
    4,676.04x = 6,453 × 2,580.21
  4. Step 4: Simplify right side
    4,676.04x = 16,650,095.13
  5. Step 5: Solve for x
    x = 16,650,095.13/4,676.04
  6. Step 6: Final answer
    x = 3,560.73

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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.