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Finding the Fourth Proportional to 6,312.48, 8,711.52 and 3,518

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Solution

The fourth proportional to 6,312.48, 8,711.52 and 3,518 is: 4,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.48 : 8,711.52 = 3,518 : x
  2. Step 2: Convert to fraction form
    6,312.48/8,711.52 = 3,518/x
  3. Step 3: Cross multiply
    6,312.48x = 8,711.52 × 3,518
  4. Step 4: Simplify right side
    6,312.48x = 30,647,127.36
  5. Step 5: Solve for x
    x = 30,647,127.36/6,312.48
  6. Step 6: Final answer
    x = 4,855.01

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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.