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Finding the Fourth Proportional to 9,443.97, 13,010.16 and 6,606.03

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Solution

The fourth proportional to 9,443.97, 13,010.16 and 6,606.03 is: 9,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.97 : 13,010.16 = 6,606.03 : x
  2. Step 2: Convert to fraction form
    9,443.97/13,010.16 = 6,606.03/x
  3. Step 3: Cross multiply
    9,443.97x = 13,010.16 × 6,606.03
  4. Step 4: Simplify right side
    9,443.97x = 85,945,507.26
  5. Step 5: Solve for x
    x = 85,945,507.26/9,443.97
  6. Step 6: Final answer
    x = 9,100.57

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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.