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Finding the Fourth Proportional to 6,700.80, 10,055.04 and 4,942.08

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Solution

The fourth proportional to 6,700.80, 10,055.04 and 4,942.08 is: 7,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.80 : 10,055.04 = 4,942.08 : x
  2. Step 2: Convert to fraction form
    6,700.80/10,055.04 = 4,942.08/x
  3. Step 3: Cross multiply
    6,700.80x = 10,055.04 × 4,942.08
  4. Step 4: Simplify right side
    6,700.80x = 49,692,812.08
  5. Step 5: Solve for x
    x = 49,692,812.08/6,700.80
  6. Step 6: Final answer
    x = 7,415.95

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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.