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Finding the Fourth Proportional to 7,562, 11,314.50 and 6,794.64

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Solution

The fourth proportional to 7,562, 11,314.50 and 6,794.64 is: 10,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562 : 11,314.50 = 6,794.64 : x
  2. Step 2: Convert to fraction form
    7,562/11,314.50 = 6,794.64/x
  3. Step 3: Cross multiply
    7,562x = 11,314.50 × 6,794.64
  4. Step 4: Simplify right side
    7,562x = 76,877,954.28
  5. Step 5: Solve for x
    x = 76,877,954.28/7,562
  6. Step 6: Final answer
    x = 10,166.35

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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.