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Finding the Fourth Proportional to 6,901.56, 10,348.98 and 2,283

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Solution

The fourth proportional to 6,901.56, 10,348.98 and 2,283 is: 3,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.56 : 10,348.98 = 2,283 : x
  2. Step 2: Convert to fraction form
    6,901.56/10,348.98 = 2,283/x
  3. Step 3: Cross multiply
    6,901.56x = 10,348.98 × 2,283
  4. Step 4: Simplify right side
    6,901.56x = 23,626,721.34
  5. Step 5: Solve for x
    x = 23,626,721.34/6,901.56
  6. Step 6: Final answer
    x = 3,423.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.