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Finding the Fourth Proportional to 9,305.97, 13,945.80 and 7,216.26

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Solution

The fourth proportional to 9,305.97, 13,945.80 and 7,216.26 is: 10,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.97 : 13,945.80 = 7,216.26 : x
  2. Step 2: Convert to fraction form
    9,305.97/13,945.80 = 7,216.26/x
  3. Step 3: Cross multiply
    9,305.97x = 13,945.80 × 7,216.26
  4. Step 4: Simplify right side
    9,305.97x = 100,636,518.71
  5. Step 5: Solve for x
    x = 100,636,518.71/9,305.97
  6. Step 6: Final answer
    x = 10,814.19

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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.