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Finding the Fourth Proportional to 7,658.50, 10,568.74 and 4,346.50

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Solution

The fourth proportional to 7,658.50, 10,568.74 and 4,346.50 is: 5,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.50 : 10,568.74 = 4,346.50 : x
  2. Step 2: Convert to fraction form
    7,658.50/10,568.74 = 4,346.50/x
  3. Step 3: Cross multiply
    7,658.50x = 10,568.74 × 4,346.50
  4. Step 4: Simplify right side
    7,658.50x = 45,937,028.41
  5. Step 5: Solve for x
    x = 45,937,028.41/7,658.50
  6. Step 6: Final answer
    x = 5,998.18

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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.