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Finding the Fourth Proportional to 9,283.80, 13,896.54 and 6,929.76

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Solution

The fourth proportional to 9,283.80, 13,896.54 and 6,929.76 is: 10,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.80 : 13,896.54 = 6,929.76 : x
  2. Step 2: Convert to fraction form
    9,283.80/13,896.54 = 6,929.76/x
  3. Step 3: Cross multiply
    9,283.80x = 13,896.54 × 6,929.76
  4. Step 4: Simplify right side
    9,283.80x = 96,299,687.03
  5. Step 5: Solve for x
    x = 96,299,687.03/9,283.80
  6. Step 6: Final answer
    x = 10,372.87

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1.5x scale

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.