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Finding the Fourth Proportional to 9,609.03, 13,255.65 and 5,629.50

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Solution

The fourth proportional to 9,609.03, 13,255.65 and 5,629.50 is: 7,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.03 : 13,255.65 = 5,629.50 : x
  2. Step 2: Convert to fraction form
    9,609.03/13,255.65 = 5,629.50/x
  3. Step 3: Cross multiply
    9,609.03x = 13,255.65 × 5,629.50
  4. Step 4: Simplify right side
    9,609.03x = 74,622,681.68
  5. Step 5: Solve for x
    x = 74,622,681.68/9,609.03
  6. Step 6: Final answer
    x = 7,765.89

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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.