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Finding the Fourth Proportional to 7,496, 10,334.87 and 6,146.64

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Solution

The fourth proportional to 7,496, 10,334.87 and 6,146.64 is: 8,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496 : 10,334.87 = 6,146.64 : x
  2. Step 2: Convert to fraction form
    7,496/10,334.87 = 6,146.64/x
  3. Step 3: Cross multiply
    7,496x = 10,334.87 × 6,146.64
  4. Step 4: Simplify right side
    7,496x = 63,524,694.60
  5. Step 5: Solve for x
    x = 63,524,694.60/7,496
  6. Step 6: Final answer
    x = 8,474.48

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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.