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Finding the Fourth Proportional to 9,299.11, 12,833 and 5,107.45

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Solution

The fourth proportional to 9,299.11, 12,833 and 5,107.45 is: 7,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.11 : 12,833 = 5,107.45 : x
  2. Step 2: Convert to fraction form
    9,299.11/12,833 = 5,107.45/x
  3. Step 3: Cross multiply
    9,299.11x = 12,833 × 5,107.45
  4. Step 4: Simplify right side
    9,299.11x = 65,543,905.85
  5. Step 5: Solve for x
    x = 65,543,905.85/9,299.11
  6. Step 6: Final answer
    x = 7,048.41

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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.