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Finding the Fourth Proportional to 6,696.10, 10,045.04 and 2,478.78

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Solution

The fourth proportional to 6,696.10, 10,045.04 and 2,478.78 is: 3,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.10 : 10,045.04 = 2,478.78 : x
  2. Step 2: Convert to fraction form
    6,696.10/10,045.04 = 2,478.78/x
  3. Step 3: Cross multiply
    6,696.10x = 10,045.04 × 2,478.78
  4. Step 4: Simplify right side
    6,696.10x = 24,899,444.25
  5. Step 5: Solve for x
    x = 24,899,444.25/6,696.10
  6. Step 6: Final answer
    x = 3,718.50

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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.