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Finding the Fourth Proportional to 6,950.60, 9,592.28 and 4,562

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Solution

The fourth proportional to 6,950.60, 9,592.28 and 4,562 is: 6,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.60 : 9,592.28 = 4,562 : x
  2. Step 2: Convert to fraction form
    6,950.60/9,592.28 = 4,562/x
  3. Step 3: Cross multiply
    6,950.60x = 9,592.28 × 4,562
  4. Step 4: Simplify right side
    6,950.60x = 43,759,981.36
  5. Step 5: Solve for x
    x = 43,759,981.36/6,950.60
  6. Step 6: Final answer
    x = 6,295.86

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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.