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Finding the Fourth Proportional to 4,684.53, 6,473.22 and 4,456.80

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Solution

The fourth proportional to 4,684.53, 6,473.22 and 4,456.80 is: 6,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.53 : 6,473.22 = 4,456.80 : x
  2. Step 2: Convert to fraction form
    4,684.53/6,473.22 = 4,456.80/x
  3. Step 3: Cross multiply
    4,684.53x = 6,473.22 × 4,456.80
  4. Step 4: Simplify right side
    4,684.53x = 28,849,846.90
  5. Step 5: Solve for x
    x = 28,849,846.90/4,684.53
  6. Step 6: Final answer
    x = 6,158.54

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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.