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Finding the Fourth Proportional to 6,429.13, 9,644.02 and 2,046.93

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Solution

The fourth proportional to 6,429.13, 9,644.02 and 2,046.93 is: 3,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.13 : 9,644.02 = 2,046.93 : x
  2. Step 2: Convert to fraction form
    6,429.13/9,644.02 = 2,046.93/x
  3. Step 3: Cross multiply
    6,429.13x = 9,644.02 × 2,046.93
  4. Step 4: Simplify right side
    6,429.13x = 19,740,674.78
  5. Step 5: Solve for x
    x = 19,740,674.78/6,429.13
  6. Step 6: Final answer
    x = 3,070.50

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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.