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Finding the Fourth Proportional to 4,906.47, 6,773.43 and 3,784.89

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Solution

The fourth proportional to 4,906.47, 6,773.43 and 3,784.89 is: 5,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.47 : 6,773.43 = 3,784.89 : x
  2. Step 2: Convert to fraction form
    4,906.47/6,773.43 = 3,784.89/x
  3. Step 3: Cross multiply
    4,906.47x = 6,773.43 × 3,784.89
  4. Step 4: Simplify right side
    4,906.47x = 25,636,687.47
  5. Step 5: Solve for x
    x = 25,636,687.47/4,906.47
  6. Step 6: Final answer
    x = 5,225.08

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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.