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Finding the Fourth Proportional to 6,623.80, 9,926.35 and 4,766.15

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Solution

The fourth proportional to 6,623.80, 9,926.35 and 4,766.15 is: 7,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.80 : 9,926.35 = 4,766.15 : x
  2. Step 2: Convert to fraction form
    6,623.80/9,926.35 = 4,766.15/x
  3. Step 3: Cross multiply
    6,623.80x = 9,926.35 × 4,766.15
  4. Step 4: Simplify right side
    6,623.80x = 47,310,473.05
  5. Step 5: Solve for x
    x = 47,310,473.05/6,623.80
  6. Step 6: Final answer
    x = 7,142.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.