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Finding the Fourth Proportional to 6,262.39, 8,643.23 and 3,574

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Solution

The fourth proportional to 6,262.39, 8,643.23 and 3,574 is: 4,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.39 : 8,643.23 = 3,574 : x
  2. Step 2: Convert to fraction form
    6,262.39/8,643.23 = 3,574/x
  3. Step 3: Cross multiply
    6,262.39x = 8,643.23 × 3,574
  4. Step 4: Simplify right side
    6,262.39x = 30,890,904.02
  5. Step 5: Solve for x
    x = 30,890,904.02/6,262.39
  6. Step 6: Final answer
    x = 4,932.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.