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Finding the Fourth Proportional to 6,875.70, 10,313.49 and 2,491.50

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Solution

The fourth proportional to 6,875.70, 10,313.49 and 2,491.50 is: 3,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.70 : 10,313.49 = 2,491.50 : x
  2. Step 2: Convert to fraction form
    6,875.70/10,313.49 = 2,491.50/x
  3. Step 3: Cross multiply
    6,875.70x = 10,313.49 × 2,491.50
  4. Step 4: Simplify right side
    6,875.70x = 25,696,060.34
  5. Step 5: Solve for x
    x = 25,696,060.34/6,875.70
  6. Step 6: Final answer
    x = 3,737.23

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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.