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Finding the Fourth Proportional to 6,696.65, 10,047.72 and 2,314.45

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Solution

The fourth proportional to 6,696.65, 10,047.72 and 2,314.45 is: 3,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.65 : 10,047.72 = 2,314.45 : x
  2. Step 2: Convert to fraction form
    6,696.65/10,047.72 = 2,314.45/x
  3. Step 3: Cross multiply
    6,696.65x = 10,047.72 × 2,314.45
  4. Step 4: Simplify right side
    6,696.65x = 23,254,932.02
  5. Step 5: Solve for x
    x = 23,254,932.02/6,696.65
  6. Step 6: Final answer
    x = 3,472.62

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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.