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Finding the Fourth Proportional to 9,299.02, 12,828.94 and 5,940.97

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Solution

The fourth proportional to 9,299.02, 12,828.94 and 5,940.97 is: 8,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.02 : 12,828.94 = 5,940.97 : x
  2. Step 2: Convert to fraction form
    9,299.02/12,828.94 = 5,940.97/x
  3. Step 3: Cross multiply
    9,299.02x = 12,828.94 × 5,940.97
  4. Step 4: Simplify right side
    9,299.02x = 76,216,283.53
  5. Step 5: Solve for x
    x = 76,216,283.53/9,299.02
  6. Step 6: Final answer
    x = 8,196.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.