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Finding the Fourth Proportional to 8,696.70, 13,034.01 and 4,069.50

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Solution

The fourth proportional to 8,696.70, 13,034.01 and 4,069.50 is: 6,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.70 : 13,034.01 = 4,069.50 : x
  2. Step 2: Convert to fraction form
    8,696.70/13,034.01 = 4,069.50/x
  3. Step 3: Cross multiply
    8,696.70x = 13,034.01 × 4,069.50
  4. Step 4: Simplify right side
    8,696.70x = 53,041,903.70
  5. Step 5: Solve for x
    x = 53,041,903.70/8,696.70
  6. Step 6: Final answer
    x = 6,099.08

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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.