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Finding the Fourth Proportional to 6,700.80, 10,044 and 2,804.16

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Solution

The fourth proportional to 6,700.80, 10,044 and 2,804.16 is: 4,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.80 : 10,044 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    6,700.80/10,044 = 2,804.16/x
  3. Step 3: Cross multiply
    6,700.80x = 10,044 × 2,804.16
  4. Step 4: Simplify right side
    6,700.80x = 28,164,983.04
  5. Step 5: Solve for x
    x = 28,164,983.04/6,700.80
  6. Step 6: Final answer
    x = 4,203.23

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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.