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Finding the Fourth Proportional to 4,690.53, 6,481.50 and 4,462.80

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Solution

The fourth proportional to 4,690.53, 6,481.50 and 4,462.80 is: 6,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.53 : 6,481.50 = 4,462.80 : x
  2. Step 2: Convert to fraction form
    4,690.53/6,481.50 = 4,462.80/x
  3. Step 3: Cross multiply
    4,690.53x = 6,481.50 × 4,462.80
  4. Step 4: Simplify right side
    4,690.53x = 28,925,638.20
  5. Step 5: Solve for x
    x = 28,925,638.20/4,690.53
  6. Step 6: Final answer
    x = 6,166.82

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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.