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Finding the Fourth Proportional to 4,827.98, 6,656.50 and 4,118.42

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Solution

The fourth proportional to 4,827.98, 6,656.50 and 4,118.42 is: 5,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.98 : 6,656.50 = 4,118.42 : x
  2. Step 2: Convert to fraction form
    4,827.98/6,656.50 = 4,118.42/x
  3. Step 3: Cross multiply
    4,827.98x = 6,656.50 × 4,118.42
  4. Step 4: Simplify right side
    4,827.98x = 27,414,262.73
  5. Step 5: Solve for x
    x = 27,414,262.73/4,827.98
  6. Step 6: Final answer
    x = 5,678.21

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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.