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Finding the Fourth Proportional to 6,473.04, 9,710.64 and 2,089.98

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Solution

The fourth proportional to 6,473.04, 9,710.64 and 2,089.98 is: 3,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.04 : 9,710.64 = 2,089.98 : x
  2. Step 2: Convert to fraction form
    6,473.04/9,710.64 = 2,089.98/x
  3. Step 3: Cross multiply
    6,473.04x = 9,710.64 × 2,089.98
  4. Step 4: Simplify right side
    6,473.04x = 20,295,043.39
  5. Step 5: Solve for x
    x = 20,295,043.39/6,473.04
  6. Step 6: Final answer
    x = 3,135.32

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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.