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Finding the Fourth Proportional to 6,718.68, 10,078.02 and 5,562

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Solution

The fourth proportional to 6,718.68, 10,078.02 and 5,562 is: 8,343

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.68 : 10,078.02 = 5,562 : x
  2. Step 2: Convert to fraction form
    6,718.68/10,078.02 = 5,562/x
  3. Step 3: Cross multiply
    6,718.68x = 10,078.02 × 5,562
  4. Step 4: Simplify right side
    6,718.68x = 56,053,947.24
  5. Step 5: Solve for x
    x = 56,053,947.24/6,718.68
  6. Step 6: Final answer
    x = 8,343

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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.