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Finding the Fourth Proportional to 6,458.61, 9,684.03 and 2,240.46

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Solution

The fourth proportional to 6,458.61, 9,684.03 and 2,240.46 is: 3,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.61 : 9,684.03 = 2,240.46 : x
  2. Step 2: Convert to fraction form
    6,458.61/9,684.03 = 2,240.46/x
  3. Step 3: Cross multiply
    6,458.61x = 9,684.03 × 2,240.46
  4. Step 4: Simplify right side
    6,458.61x = 21,696,681.85
  5. Step 5: Solve for x
    x = 21,696,681.85/6,458.61
  6. Step 6: Final answer
    x = 3,359.34

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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.