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Finding the Fourth Proportional to 9,347.00, 14,020.45 and 3,107.50

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Solution

The fourth proportional to 9,347.00, 14,020.45 and 3,107.50 is: 4,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.00 : 14,020.45 = 3,107.50 : x
  2. Step 2: Convert to fraction form
    9,347.00/14,020.45 = 3,107.50/x
  3. Step 3: Cross multiply
    9,347.00x = 14,020.45 × 3,107.50
  4. Step 4: Simplify right side
    9,347.00x = 43,568,505.56
  5. Step 5: Solve for x
    x = 43,568,505.56/9,347.00
  6. Step 6: Final answer
    x = 4,661.23

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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.