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Finding the Fourth Proportional to 6,811.68, 9,396.24 and 4,712.16

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Solution

The fourth proportional to 6,811.68, 9,396.24 and 4,712.16 is: 6,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.68 : 9,396.24 = 4,712.16 : x
  2. Step 2: Convert to fraction form
    6,811.68/9,396.24 = 4,712.16/x
  3. Step 3: Cross multiply
    6,811.68x = 9,396.24 × 4,712.16
  4. Step 4: Simplify right side
    6,811.68x = 44,276,586.28
  5. Step 5: Solve for x
    x = 44,276,586.28/6,811.68
  6. Step 6: Final answer
    x = 6,500.10

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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.