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Finding the Fourth Proportional to 6,678.50, 10,013.13 and 4,805.55

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Solution

The fourth proportional to 6,678.50, 10,013.13 and 4,805.55 is: 7,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.50 : 10,013.13 = 4,805.55 : x
  2. Step 2: Convert to fraction form
    6,678.50/10,013.13 = 4,805.55/x
  3. Step 3: Cross multiply
    6,678.50x = 10,013.13 × 4,805.55
  4. Step 4: Simplify right side
    6,678.50x = 48,118,596.87
  5. Step 5: Solve for x
    x = 48,118,596.87/6,678.50
  6. Step 6: Final answer
    x = 7,205.00

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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.