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Finding the Fourth Proportional to 6,880.92, 10,328.24 and 3,184

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Solution

The fourth proportional to 6,880.92, 10,328.24 and 3,184 is: 4,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.92 : 10,328.24 = 3,184 : x
  2. Step 2: Convert to fraction form
    6,880.92/10,328.24 = 3,184/x
  3. Step 3: Cross multiply
    6,880.92x = 10,328.24 × 3,184
  4. Step 4: Simplify right side
    6,880.92x = 32,885,116.16
  5. Step 5: Solve for x
    x = 32,885,116.16/6,880.92
  6. Step 6: Final answer
    x = 4,779.17

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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.